# International Journal of Mathematics and Computers in Simulation

**E-**ISSN: 1998-0159

Volume 11, 2017

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of NAUN Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

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**Volume 11, 2017**

Title of the Paper: **Multilayer Neural Network Recognition for Sign Language Pattern Motion Detection with Hand Gesture Control**

Authors: **M. Mauledoux, W. Amador, A. Vega**

Pages: **230-234**

Abstract: This document shows the results of an interdisciplinary research design in the areas of electronical engineering and speech therapy/communication sciences, using a proposed classification method of electromyographic signals. Recognition technologies use signals from the forearm musculature and 27 signal points that coorspended to the alphabet, pronouns and some verbs high frequency of the Colombian Sign Language (CSL). A neural network of Pattern Recognition and comparative analysis of the number of hidden layers, plus performance was implemented. During the classification and recognition of these results high accuracy was obtained with only a 2.03% error in the classification of signals corresponding to the aforementioned areas. The data collection process included the participation of a natural linguistic model or deaf person/LSC user.

Title of the Paper: **Convolutional Neural Network-based Steganalysis on Spatial Domain**

Authors: **Dong-Hyun Kim, Hae-Yeoun Lee**

Pages: **225-229**

Abstract: Steganalysis has been studied to detect the existence of hidden messages by steganography. However, human intervention is required to determine the flaws of the steganography and it is time consuming. This paper presents a steganalysis method using a convolutional neural network for spatial domain steganography whereby there is no human intervention is required. We have designed a convolutional neural network-based steganalysis model to have 5 convolutional layers and 2 full connected layers. Especially, binarized differential filter and high pass filter are applied to extract hidden messages. After the model is trained with cover images and LSB-based stego-images, unknown images are tested to determine if secret messages have been embedded. Experiments are performed using BOSS and SIPI database and the presented models show over 99% and 96% accuracy for stego-images with the same key and different keys.

Title of the Paper: **Nonlinear Systems Identification with Discontinuous Nonlinearity**

Authors: **A. Brouri, M. Benyassi**

Pages: **217-224**

Abstract: In this paper, nonparametric nonlinear systems identification is proposed. The considered system nonlinearity is nonparametric and is of hard type. This latter can be discontinuous and noninvertible. The entire nonlinear system is structured by Hammerstein model. Furthermore, the linear dynamic block is of any order and can be nonparametric. The problem identification method is done within two stages. In the first stage, the system nonlinearity is identified using simple input signals. In the first stage, the linear dynamic block parameters are estimated using periodic signals. The proposed algorithm can be used of large class of nonlinear systems.

Title of the Paper: **A Note on the Adomian Decomposition Method for Generalized Burgers-Fisher Equation**

Authors: **M. Meštrović, E. Ocvirk, D. Kunštek**

Pages: **211-216**

Abstract: The Adomian decomposition method (ADM) for Burgers-Fisher equation was introduced in. The generalized Burgers-Fisher equation is nonlinear partial differential equation which appears in fluid dynamics and other fields of applied physics. Burgers-Fisher equation describes different physical phenomena as convection effect, diffusion transport or interaction between the reaction mechanisms. The purpose of this paper is to improve numerical solution of the problems given in according the note given in and formulation given in. The calculated numerical results with just first few (two, three or four) terms in series decomposition show the improvement in efficiency and accuracy with presented algorithm. More terms used for numerical approximation of analytical solution result with significantly improved approximation. The proposed procedure and algorithm are expressed on wide number of examples. The comparison of numerical results according the given approach by using Adomian decomposition method with exact solution, with numerical results by decomposition method explained in and with numerical results obtained by exp-function method with heuristic computation presented in is provided.

Title of the Paper: **Identification of Nonlinear Discrete Systems Based Enhanced Genetic Programming**

Authors: **Rami A. Maher, Mohammad J. Mohammad**

Pages: **204-210**

Abstract: This paper introduces the application of the genetic programming to solve the identification problems of nonlinear discrete dynamic systems. The standard GP is enhanced first to be of a Multi basis function structure and then by a general parameter optimization technique to include one of four proposed techniques. The efficiency of finding the numeric constant node is significantly improved as compared to the traditional methods. The simulation procedure includes first a comparison between the enhanced GP by one of the parameter optimization techniques and the standard GP. Then after for six different models, a comparison between the four utilized techniques is performed. The comparison is made in terms of the number of runs require to find the perfect model, and the average number of generations for successful runs. Finally, a complicated nonlinear discrete is selected to show the powerful of the proposed algorithm.

Title of the Paper: **A Contribution on the Identification of Nonlinear Systems**

Authors: **A. Brouri, L. Kadi, S. Slassi**

Pages: **196-203**

Abstract: In this paper, an identification method is proposed to determine the nonlinear systems parameters. The proposed nonlinear systems can be described by Wiener systems. This structure of models consists of series of linear dynamic element and a nonlinearity block. Both the linear and nonlinear parts are nonparametric. In particular, the linear subsystem of structure entirely unknown. The considered nonlinearity function is of hard type. This latter can have a dead zone or with preload. These nonlinear systems have been confirmed by several practical applications. The suggested approach involves easily generated excitation signals.

Title of the Paper: **Enhanced Artificial Bee Colony for Real Parameter Optimization**

Authors: **Abdul G. Abro, Junita Mohamad-Saleh, Noorazliza Sulaiman**

Pages: **180-195**

Abstract: Bio-inspired optimization algorithms are widely-used-subset of computational intelligence. The algorithms have adopted their working principles from different natural phenomena. Artificial Bee Colony (ABC) is formulated from honey bees foraging phenomenon. ABC optimization algorithm is a potent member of the algorithm-family. However, ABC suffers from slow convergence and poor exploitation. Researchers have evolved many ABC variants to overcome the demerits of ABC. Nevertheless, the variants are proposed either at the cost of additional control variables or required to evaluate the objective function numerous times for a food-source. The search of optimal values of the control variables to yield optimal performance of the ABC variants is exhaustive. Hence the variants are computationally intensive. This research proposes an enhanced ABC algorithm without adding any control-variable to the standard-ABC. Furthermore the proposed variant evaluates the objective function only once like the standard-ABC. The proposed algorithm has been compared with four efficient variants of ABC algorithm on a number of benchmark functions and a real-world application i.e. automatic-voltage-regulator performance enhancement. The two different statistical tests have been performed to assess significance of the proposed algorithm. The results suggest that not only the proposed algorithm has better capability to fend off local optima but it also possesses better convergence rate.

Title of the Paper: **A Mathematical Model for the Control of HIV Infection - An Optimal Control Approach**

Authors: **Jayanta Mondal, Priti Kumar Roy, Fahad Al Basir**

Pages: **174-179**

Abstract: In this research article, we proposed a mathematical model for HIV infection with an aim to control the disease using combined drugs namely reverse transcriptase inhibitors (RTIs) and protease inhibitors (PIs). We incorporate two control parameters into the model representing the two drugs and find the optimal treatment strategy using Pontryagin minimum principle that will produce maximum uninfected cells and minimum viral load with a minimum dose of drug therapies to prevent harmful effects associated with excessive use of drugs in the body. Numerical simulation of the nonlinear model has confirmed our analytical studies.

Title of the Paper: **Vibrational Comfort on Board the Vehicle: Influence of Speed Bumps and Comparison Between Different Categories of Vehicle**

Authors: **Vincenzo Barone, Domenico Walter Edvige Mongelli, Antonio Tassitani**

Pages: **169-173**

Abstract: This paper shows the results of a study conducted on five different categories of vehicles in a specific test site. The aim was to investigate how the effect of the test site discontinuity determines variations of comfort related to the increase in speed and to the different class of vehicles. Measurements were obtained by combining data relating to vibrations in the three reference axes, detected through a vibration dosimeter (VIB-008), and geolocation data (latitude and longitude) identified by the GPS inside a smartphone. After the survey campaign it was determined a formulation that allows to define a Comfort Index CI depending on velocity and vehicle class. This study showed that the presence of speed bumps, in the test site investigated, appears to be unconfortable even at speeds well below those required by the Highway Code.

Title of the Paper: **Fuzzy Information Measures in Decisiveness**

Authors: **Anjali Munde**

Pages: **164-168**

Abstract: Information Theory deals with the analysis of setbacks regarding some system. This comprises the dispensation of information, stowing information, repossession of information and decision making. Information Theory analyses all hypothetical problems associated with diffusion of information above transmission network. This comprises analysis of ambiguity quantities and numerous applied and efficient procedures of coding information for conduction. Information Theory has attained applications in numerous communal, substantial and biotic sciences. To quantify the extent of information numerically, Shannon (1948) applied the conception of entropy. In this paper, an innovative measure of fuzzy information has been projected and functions of fuzzy information measure in evaluation building have been conferred.

Title of the Paper: **An Optimization Model for Market Basket Analysis with Allocation Considerations: A Genetic Algorithm Based Approach**

Authors: **Majeed Heydari, Amir Yousefli**

Pages: **159-163**

Abstract: Nowadays market basket analysis is one of the interested research areas of the data mining that has received more attention by researchers. But, most of the related researches focused on the traditional and heuristic algorithms with limited factors that are not the only influential factors of the basket market analysis. In this paper to efficient modeling and analysis of the market basket data, the optimization model is proposed with considering allocation parameter as one of the important and effectual factors of the selling rate. Genetic algorithm is applied to solve the formulated non-linear binary programming problem and a numerical example is used to illustrate the presented model. The provided results reveal that the obtained solutions are seems to be more realistic and applicable.

Title of the Paper: **Resonance Vibrations and Stability of Drill Strings Complicated by Frictional Forces**

Authors: **Lelya Khajiyeva, Aliya Umbetkulova**

Pages: **147-158**

Abstract: In this work the nonlinear analysis of a drill string movement taking into account a complicating factor was studied. As a complicating factor is taken a frictional force arising between the string and the borehole. The resonance modes and its stability are investigated here. For that reason the amplitude-frequency characteristics of the first and the third harmonic resonance are constructed. The consideration of friction forces leads to a decrease in the amplitudes of transverse vibrations and to a weakening of resonance oscillations with a narrowing of the zone of dangerous frequencies. Qualitative and quantitative agreement of the stability zones of the resonance on the basic frequency with bifurcation zones on the resonant amplitude-frequency characteristics was also established. Obtained here responses determinate the instability zone of the basic resonance allows to avoid non-working resonance frequencies at the early stage of drilling wells. Modeling of resonance regimes of the drill string dynamics along with the analysis of its stability has a great importance for development of drilling equipment and improving its dynamic characteristics.

Title of the Paper: **Design and Simulation of Pyramidal Horn Antenna for NDT Applications**

Authors: **Guezoui Zahia, Amir Monir, Amar Hichem, Zergoug Mourad**

Pages: **143-146**

Abstract: This paper describes a pyramidal horn antenna design which it works in a microwave domain. His operating frequency is 4.7 GHz. The parameters of the antenna were measured through its numerical modeling using HFSS (High Frequency Structure Simulator) electromagnetic simulation software. HFSS has the capability to calculate and plot a 3D image depicting the real beam of the gain. The obtained results show that an antenna gain of 12.90 dB was obtained at the frequency of 4.7 GHz, which means that the antenna is properly adapted to the transmission systems. This antenna will be used for non destructive testing (NDT) application, such as detection of cracks in different materials, materials characterization.

Title of the Paper: **Processing of Correlated Images through Double PCA-Based Transform in Color and Time Domains**

Authors: **Roumen Kountchev, Roumiana Kountcheva**

Pages: **135-142**

Abstract: In this paper is presented one new approach for decorrelation of groups of color images (for example, multi-view, computer tomography, video sequences, etc.) in two directions: the color and the time domain. The correlation strength depends on the image kind (obtained by a video sensor with fixed or time-changing spatial position), and on their contents. To achieve correlation reduction, here is proposed new approach based on the sequential execution of two PCA-based algorithms: the Adaptive Color PCA for each color image in the group, and the Hierarchical Adaptive PCA - for each group or time-sequence, obtained after the execution of the first color space transform. Both algorithms were already presented in preceding publications of the authors, but their combined impact had not been analyzed yet. In the paper is given also the analysis of the information redundancy reduction as a result of the decorrelation got after the execution of both algorithms, and are indicated the future trends for their development.

Title of the Paper: **Learning of the Neural System Based on Nonlinear Aggregation Operations of Quaternionic-Valued Signals in Neuron Cell**

Authors: **Sushil Kumar, B. K. Tripathi**

Pages: **125-134**

Abstract: This paper illustrates the new structure of artificial neuron which is based on the non-linear aggregation operation of quaternionic-valued signals in neuron cell. The main aim of this neuron is to present the comparative potential capabilities of non-linear aggregation over conventional aggregation (summation) of the quaternionic-valued signals. The root-power mean is used as a nonlinear aggregation operation which has an ability to construct a wide spectrum of aggregation means in between minima and maxima depending on degree of compensation (exponent). It has a beautiful property of changing its degree of compensation in the natural way which emulates the various existing neuron models as its special cases. The three-layer multilayer perceptron networks are designed with proposed and conventional neurons in quaternionic domain separately. These networks are trained through quaternionic-valued back-propagation (ℍ-BP) learning algorithm for various benchmark problems. The results demonstrate the improvement on training cycles and exhibits better approximation accuracy. A wide spectrum of benchmark problems are considered to evaluate the performance of proposed quaternionic root-power mean neuron with ℍ-BP learning algorithm.

Title of the Paper: **On the Proposal of an Standard Design for Piezoelectric Resonators with in-Phase Mechanical Displacement: 2-d Photonic Transducers**

Authors: **Silvia Ronda, Francisco Montero de Espinosa, José Luis Aragón**

Pages: **121-124**

Abstract: In the searching of a standard method to get piezoelectric transducer resonators with piston-like vibration pattern, good results have been obtained by drilling square phononic lattices along the length direction. To increase the number of holes maintaining the hole filling ratio, modified lattices have been successfully tested. A cross parametric study using the lattice parameter and the hole diameter has been made to study a standard 200 kHz piezoelectric sandwich transducer with a “forbidden” length-to-radial ratio of 0.2. Finite Element modelling (COMSOL Multyphysics 5.2a) has been used. It has been concluded that for a filling ratio of 14% and 4.2 mm hole diameter, the phononic resonator behaves like a piston.

Title of the Paper: **Modelling and Performance Analysis of Asymmetric Double Gate Stack-Oxide Junctionless FET in Subthreshold Region**

Authors: **Md. Shafiqul Islam, Jannatul Afza, Sanjida Tarannum**

Pages: **116-120**

Abstract: A modified analytical model for asymmetric Double Gate Stack-Oxide Junctionless Field Effect Transistor (DGS-JLFET) in subthreshold region is presented in this paper. The simulation results obtained from this model are used to make a performance analysis for the described device. The potential distribution and some short channel effects such as on-off ratio (Ion/Ioff), threshold voltage roll-off (TVRO), subthreshold swing (SS) for asymmetric DGS-JLFET in subthreshold region has been observed. Comparative analysis shows that this asymmetric device has better performance than symmetric ones.

Title of the Paper: **The Impact Study of Flexible Alternating Current Transmission System on Transient Stability of Power Systems Using MATLAB CODE and Power World Simulator**

Authors: **Aissa Souli, Madani Makhlouf**

Pages: **110-115**

Abstract: The purpose of this work is the study of the influence of FACTS on transient stability of power systems using a Power World Simulator software, and the computer code transient stability code 'TRANS_STAB_CODE' 'which was created in MATLAB. We tried in the introduction of this work to provide a description on the transient stability: definition, transient stability criteria, and equations. Then we gave an overview on the modelling of FACTS in power systems, the definition and types of Flexible Alternating Current Transmission System, their schemes, and their equations, then presented the model of UPFC (Unified Power Flow Controller) as an example. Secondly, we discussed the code, 'TRANS_STAB_CODE' that was created in MATLAB by giving a description of the code and their structure with graphics windows, and then I described privately the Power World Simulator simulation software. Then we presented the test electrical network, and the results of transient stability of this network systems with the code 'TRANS_STAB_CODE' 'and with Power World Simulator where no and where there Flexible Alternating Current Transmission System. At the end, we analyzed the results of both programs in both cases: with and without Flexible Alternating Current Transmission System, we finished our work with a conclusion.

Title of the Paper: **Comparative Study Between AlGaN/GaN and AlInN/GaN High Electron Mobility Transistors**

Authors: **Md. Shafiqul Islam, Abdul Ahad, Hasan Ahmed, and Sujjatul Islam**

Pages: **106-109**

Abstract: Different characteristics of AlGaN/GaN and AlInN/GaN high electron mobility transistors (HEMTs) are compared in this paper. For two dimensional electron gas (2DEG) density calculation of AlGaN/GaN HEMT, we used AlGaN barrier with different Al composition on GaN substrate with thickness varying from 20nm to 30nm. For AlInN/GaN HEMT, we used AlInN barrier with different In composition on GaN substrate with thickness varying from 5nm to 10nm. Threshold voltage calculation for alloy composition of 0.1≤x≤0.45 for AlGaN/GaN HEMT and 0.08≤x≤0.26 for AlInN/GaN HEMT were performed. Variations of sheet carrier concentration in 2DEG with gate voltages at different alloy composition and with alloy composition at different barrier thickness for both systems are observed. The lattice matched AlInN/GaN HEMT always exhibits larger sheet carrier density and less strain than that of the AlGaN/GaN HEMT. By comparing different parametric variations it is concluded that the usage of AlInN/GaN HEMT is much more convenient for future devices.

Title of the Paper: **Noise Silencer of Air Exhaust**

Authors: **Jan Kolar, Pavel Peukert, Karel Adamek**

Pages: **100-105**

Abstract: The actual noise silencer of a strong air exhaust of more than 50 m3/s is too noisy for the surroundings. The aim of this paper is to propose effective measures of noise suppression. The next complication are some sticky particles in the air volume, which obstructs the air exhaust.

Title of the Paper: **Numerical Solvers for Large Systems of Ordinary Differential Equations Based on the Stochastic Direct Simulation Method Improved by the Picard and Runge–Kutta Principles**

Authors: **Flavius Guias**

Pages: **93-99**

Abstract: We present a numerical scheme for approximating solutions of large systems of ordinary differential equations which at its core employs a stochastic component. The approach used for this level is called stochastic direct simulation method and is based on path simulations of suitable Markov jump processes. It is efficient especially for large systems with a sparse incidence matrix, the most typical application being spatially discretized partial differential equations, for example by finite differences. Due to its explicit character, this method is easy to implement and can serve as a predictor for improved approximations. One possibility to reach this is by the Picard principle. Since we have simulated a full path of the corresponding Markov jump process, we can obtain more precise values by using Picard–iterations over small time intervals. This requires the computation of integrals of step–functions, which can be performed explicitly. A further way to increase the precision of the direct simulation method is to use a Runge–Kutta principle. In contrast to the Picard–scheme, here one integrates a polynomial function which interpolates either the values of the original jump process, or the values improved by the Picard iterations, at some equidistant points in the time discretization interval. These integrals can be computed by a proper quadrature formula from the Newton–Cotes family, which is also used in the standard deterministic Runge–Kutta schemes. However, the intermediate values which are plugged into the quadrature formulae are computed in our method by stochastic simulation, possibly followed by a Picard iteration, while in the usual Runge–Kutta methods one uses the well-known Butcher–tableau. We also introduce a time–adaptive version of the stochastic Runge–Kutta scheme. Here we do not take fixed time intervals, but a fixed number of jumps of the underlying process. Depending on the scheme, we may consider intermediate points after the half of this number of jumps. Since in this case the points are not necessarily equidistant in time, we have to compute the corresponding interpolation polynomial and its integral exactly. If high precision is required, this adaptive variant of the stochastic Runge–Kutta method combined with Picard–iterations turns out to be the most effective if compared to the other methods from this family. We illustrate the features of all considered schemes at a standard benchmark problem, a reaction–diffusion equation modeling a combustion process in one space dimension (1D) and two space dimensions (2D).

Title of the Paper: **Dual Iterative Methods for Nonlinear Total Resource Allocation Problems in Telecommunication Networks**

Authors: **Igor Konnov, Aleksey Kashuba, Erkki Laitinen**

Pages: **85-92**

Abstract: We consider problems of optimal resource allocation in zonal telecommunication networks with many users. In the simplest formulation the network manager aims to distribute some homogeneous resource (say bandwidth) among users within one region with possible utilization of external resources. We suggest to apply the bi-section method for the nonlinear dual problem with a family of independent nonlinear problems. Next, we consider a more general resource allocation problem where the region a wireless communication network is divided into zones (clusters) and develop an extension of the above dual decomposition method for this problem. We present results of computational experiments which confirm the efficiency of the new method in comparison of the previous ones.

Title of the Paper: **The Innovative Implementation of Evaluation Mechanisms on the P4G Business Game**

Authors: **Zacharoula Smyrnaiou, Evangelia Petropoulou, Stefano Menon, Vincenzo Zini**

Pages: **75-84**

Abstract: The P4G Business Game is a simulation game that has been developed in the context of the European project PLAY4GUIDANCE. In alignment with the project objectives, the P4G online interactive space in the form of a business game is addressing both theory development issues and learning purposes and meets the conditions and specifications that attain to bring the world of education and training in close contact with the job market and match school and university curricula to the market’s real needs. In this context the business game provides a basic supplement and interactive educational approach to the core curriculum of business and economic classes. In this highly engaging and motivating environment, users are trained and guided in the use of entrepreneurial, transversal and mathematical skills. What differentiates the P4G Business Game from other relevant simulation games is its innovative implementation of a set of evaluation mechanisms that are embedded in the game aiming both to assess the users’ performance and to scaffold and guide them. The evaluation tool provides users with individual tracking of their performance on every aspect of management of a company and supports them to reflect on previous decisions, review their effect, and apply critical thinking and problem-solving skills in order to improve the problematic areas. The design and development of the P4G self-evaluation tool was realized based on a set of pilot tests and research action plans on the basis of assessing (1) players’ level of the key skills and competences highlighted in the P4G matrix and (2) players’ performance in alignment with the learning objectives highlighted by the P4G Pedagogical Framework and involved all project member countries as well as target groups: unemployed, students, teachers. The findings from the testing phase have shown a positive level of reliability of the P4G Evaluation tool regarding the assessed competences and its scaffolding nature as an entrepreneurial training tool.

Title of the Paper: **Interval Estimation Of Polynomial Splines of the Fifth Order and its Derivatives and Errors of Approximation**

Authors: **Burova I. G., Vartanova A. A., Shirokova Iu. V.**

Pages: **67-74**

Abstract: As is well known in many applications, approximation by local interpolating splines is preferable to approximation by interpolating polynomials or interpolating by other types of splines. Sometimes the values of integrals over net intervals besides the values of the function in the nodes are known. In this case we can use integro-differential splines. The main features of these splines are the following: the approximation is constructed separately for each grid interval (or elementary rectangular), the approximation constructed as the sum of products of the basic splines and the values of function in nodes and/or the values of its derivatives and/or the values of integrals of this function over subintervals. Basic splines are determined by using a solving system of equations which are provided by the set of functions. In this paper we present the estimation of approximation and the algorithm for constructing an interval extension of approximation when values of function in nodes, values of its first derivative in nodes, and values of its integrals over net intervals are given. The algorithm of approximation is based on the method of approximating functions using integro-differential splines. For obtaining the derivatives of the function we use the derivatives of the basic functions. For constructing the approximation of the function of two variables we use tensor product. For constructing the derivatives of the approximation of the function of two variables we use derivatives of basic functions. For constructing this interval extension, we use techniques from interval analysis. The errors of approximation are given for the approximations with the middle, left and right integro-differential polynomial splines of the fifth order. Numerical examples are given.

Title of the Paper: **Exact Analytical Formulations for the of Symmetric Circulant Tridiagonal Matrices**

Authors: **Seyedmostafa Mousavi Janbehsarayi, Saman Tavana, Mansour Nikkhah Bahrami**

Pages: **61-66**

Abstract: This study presents a time efficient, exact analytical approach for finding the inverse, decomposition, and solving linear systems of equations where symmetric and symmetric circulant matrices appear is presented. A set of matrices are introduced that any symmetric circulant matrix could be decomposed into them as well as their straightforward inverse. After that, it will be shown how they could be used to find the inverse of the matrix. Moreover, solving related linear equations can be carried out using implemented decomposition for these special, prevalent matrices.

Title of the Paper: **Mathematical Modeling of the Crown Forest Fires Impact on Buildings**

Authors: **Valeriy Perminov**

Pages: **56-60**

Abstract: The mathematical modeling of forest fires actions on buildings and structures has been carried out to study the effects of fire intensity and wind speed on possibility of ignition of buildings. The crown forest fire is introduced as a heat and mass source defined by the empirical values of average crown fire temperature and vertical gas velocity at the top crown surface dependent on fire intensity. The hydrodynamic and thermal interactions between plume, wind flow and building are analyzed. The modeling approach is based on the use of standard non-stationary three-dimensional conservation equations that are solved numerically under the input conditions specific for large crown forest fires.

Title of the Paper: **Determining Appropriate Antihypertensive Drug for a Patient by Differential Equation**

Authors: **Afshin Khassekhan, Roshanak Marhamati**

Pages: **51-55**

Abstract: Antihypertensive drugs such as captopril, losartan and perindopril are inhibitor, used for the treatment of hypertension and some types of congestive heart failure. This flow of medication operates by treating the parts of the body as compartments, so that a unit of the medication leaves one compartment and enters to another until eliminates from the body. This process is modeled by linear differential equations. The rates of absorption and elimination of drugs are computed at each stage and is compared with together. Solving IVP's determines better dose for treating different diseases on variety conditions.

Title of the Paper: **Interposed Control Design Conditions for Linear Discrete-Time Systems**

Authors: **D. Krokavec, A. Filasova**

Pages: **45-50**

Abstract: The paper establishes the design procedure for the state feedback control of linear discrete-time systems, considerable as an interposed design criterium in the form of linear matrix inequalities. The goal is to design the feedback control which guarantees bounded H2 performance index for the system transfer function matrix and H1 norm attenuation for the disturbance transfer function matrix, both combined with D-stable circle region parameters. Analyzing the criteria observance, the task is formulated as a feasible problem subject to integral quadratic constraints included in the Lyapunov discrete-time stability condition.

Title of the Paper: **Two Term Controller Design for Multivariable Linear Time Delay System**

Authors: **Sonal Singh, Shubhi Purwar**

Pages: **39-44**

Abstract: The proposed work develops a methodology to design a state feedback- two term (2T) controller via composite nonlinear feedback (CNF) controller for reference tracking of multivariable linear time delay system in presence of input saturation. Basic composite nonlinear feedback (CNF) controller only deals with present state whereas 2T controller deals with present and past both the states. Comparative study of controllers (CNF & 2T) proves the superiority of 2T in terms of damping characteristics and fast transient response. The efficiency of the proposed technique is validated through simulation results. Stability is proven by delay independent analysis via Lyapunov-Krasovskii functional. Unknown parameters are found with the help of Linear Matrix Inequalities (LMI) toolbox.

Title of the Paper: **The Computational Simulation of a Disturbances Excitation in a Compressible Boundary Layer by Spatial Sound Waves**

Authors: **S. A. Gaponov, A. N. Semenov**

Pages: **32-38**

Abstract: On the basis of the direct numerical simulation in the paper the supersonic flow around of the infinitely thin plate which was perturbed by the acoustic wave was investigated. Calculations carried out in the case of small perturbations at the Mach number M=2 and Reynold’s numbers Re<600. The interaction of a spatial external acoustic wave with a supersonic boundary layer was studied. It is established that the velocity perturbation amplitude within the boundary layer is greater than the amplitude of the external acoustic wave in several times, the maximum amplitude growth is reached 10. At the small sliding and incidence angles the velocity perturbations amplitude increased monotonously with Reynold’s numbers. At rather great values of these angles there are maxima in dependences of the velocity perturbations amplitude on the Reynold’s number. The oscillations exaltation in the boundary layer by the sound wave more efficiently if the plate is irradiated from above. At the fixed Reynolds's number and frequency there are critical values of the sliding and incidence angles (χ, φ) at which the disturbances excited by a sound wave are maxima. At M = 2 it takes place at χ≈ φ ≈30°. The excitation efficiency of perturbations in the boundary layer increases with the Mach number, and it decreases with a frequency.

Title of the Paper: **Comparison of Two Methods of Numerical Solution of Mitchison Biological System of Nonlinear Partial Differential Equations**

Authors: **Temur Jangveladze, Zurab Kiguradze, Mikheil Gagoshidze, Besiki Tabatadze**

Pages: **25-31**

Abstract: The two-dimensional system of nonlinear partial differential equations is considered. This system arises in process of vein formation of young leaves. Additive splitting and variable directions type finite difference schemes are used. Comparison of numerical calculations of the proposed methods are done.

Title of the Paper: **Performance of Macrodiversity System with Selection Combining and Three Microdiversity MRC Receivers in the Presence of Various Fading**

Authors: **Dragana Krstić, Radmila Gerov, Zoran Popović, Miloš Perić, Vladimir Veličković, Mihajlo Stefanović**

Pages: **14-24**

Abstract: Macrodiversity with macrodiversity selection reception and three microdiversity (MID) Maximum Ratio Combining (MRC) receivers in the presence of long term fading and short term fading is considered in this paper. Received signal in the first MRC receiver experiences Gamma long term fading and Nakagami-m short term fading, in the second MID MRC receiver Gamma long term fading and Rician short term fading are present, and received signal in the third MID MRC receiver is under Gamma long term fading and κ-μ short term fading. Cumulative distribution functions (CDF) and level crossing rates of signals at outputs of MID receivers are determined. Based on them, the level crossing rate (LCR) of MAD Selection Combining (SC) receiver output signal is calculated. Some figures are presented to show the influence of severity parameter of Nakagami-m short term fading, Rician factor of Rician fading, Rician factor of κ-μ fading, severity parameter and correlation coefficient of Gamma long term fading on LCR.

Title of the Paper: **Recurrent Neural Networks Approach to the Financial Forecast of Google Assets**

Authors: **Luca Di Persio, Oleksandr Honchar**

Pages: **7-13**

Abstract: A huge quantity of learning tasks have to deal with sequential data, where either input or out-put data can have sequential nature. This is the case,e.g., of time series forecasting, speech recognition,video analysis, music generation, etc., since they all require algorithms able to model sequences. Duringrecent years, recurrent neural networks (RNNs) architectures have been successfully used in one as well as for multidimensional sequence learning tasks, quickly constituting the state of the art option for extracting patterns from temporal data. Concerning financial applications, one of from the most important examples of sequential data analysis problems is related to the forecasting the dynamic in time of structured financial products. To this end, we compare different RNNs architectures. In particular we consider the basic multi-layer RNN, long-short term memory (LSTM) and gated recurrent unit (GRU) performances on forecasting Google stock price movements. The latter will be done on different time horizons, mainly to explain associated hidden dynamics. In particular, we show that our approach allows to deal with long sequences, as in the case of LSTM. Moreover the obtained performances turn out to be of high level even on different time horizons. Indeed, we are able to obtain up to 72% of accuracy.

Title of the Paper: **A Parametric Risk Analysis of Goods Transport Through Road Tunnels**

Authors: **Ciro Caliendo, Maria Luisa De Guglielmo**

Pages: **1-6**

Abstract: A parametric study for evaluating the impact due to vehicles transporting dangerous goods on the risk level in road tunnels is presented. Unidirectional tunnels having characteristics in compliance with the European Directive 2004/54/EC were more especially investigated. Different combinations of tunnel length (L), annual average daily traffic (AADT), percentage both of heavy goods vehicles (HGVs) and dangerous goods vehicles (DGVs) were considered. The results, expressed in terms of social risk (as F/N curves) and expected value EV, show that the risk level is positively associated with: L, AADT per lane, percentages of HGVs and DGVs. Furthermore, certain F/N curves were found to be beyond the threshold of intolerable risk for higher percentages of HGVs and DGVs; as a consequence, additional safety measures must be implemented. A radar chart is also proposed in order to help Tunnel Management Agencies (TMAs) in making more appropriate decisions in traffic control strategies concerning more especially DGVs.