Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 Islamic Azad University, Central Tehran Branch 521901 unavailable NUMERICAL SOLUTION OF ONE-DIMENSIONAL HEAT AND WAVE EQUATION BY NON-POLYNOMIAL QUINTIC SPLINE Rashidinia Jalil Department of Mathematics, Iran University of Science and Technology, Iran, Islamic Republic of Mohsenyzade Mohamadreza 21 03 2015 5 4 (FALL) 291 305 15 04 2016 15 04 2016 Copyright © 2015, Islamic Azad University, Central Tehran Branch. 2015 http://ijm2c.iauctb.ac.ir/article_521901.html

This paper present a novel numerical algorithm for the linear one-dimensional heat and wave equation. In this method, a nite dierenceapproach had been used to discrete the time derivative while cubic spline isapplied as an interpolation function in the space dimension. We discuss theaccuracy of the method by expanding the equation based on Taylor series andminimize the error. The proposed method has eighth-order accuracy in spaceand fourth-order accuracy in time variables. From the computational pointof view, the solution obtained by this method is in excellent agreement withthose obtained by previous works and also it is ecient to use. Numericalexamples are given to show the applicability and eciency of the method.

Dierential Equation Quintic Spline Heat Equation Wave Equation Taylor Approximation
Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 Islamic Azad University, Central Tehran Branch 521902 unavailable LIMITED GROWTH PREY MODEL AND PREDATOR MODEL USING HARVESTING Rekha Vijaya Rekha http://www.annamalaiuniversity.ac.in Department of mathematics,Annamalai university India Assistant professor, Department of Mathematics, Annamalai university. 21 03 2015 5 4 (FALL) 307 318 15 04 2016 15 04 2016 Copyright © 2015, Islamic Azad University, Central Tehran Branch. 2015 http://ijm2c.iauctb.ac.ir/article_521902.html

In this paper, we have proposed a study on controllability and optimal harvestingof a prey predator model and mathematical non linear formation of the equation equilibriumpoint of Routh harvest stability analysis. The problem of determining the optimal harvestpolicy is solved by invoking Pontryagin0s maximum principle dynamic optimization of theharvest policy is studied by taking the combined harvest eect as a dynamics variable

Predator prey model harvesting Stability optimal harvest policy equilibrium point Pontryagins maximum principle
Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 Islamic Azad University, Central Tehran Branch 521903 unavailable SLIDING MODE CONTROL BASED ON FRACTIONAL ORDER CALCULUS FOR DC-DC CONVERTERS Bouarroudj Noureddine Unité de Recherche Appliquée en Energies Renouvelables, URAER, Centre de Développement des Energies Renouvelables, CDER, 47133 Ghardaïa, Algeria Algeria Boukhetala D. Benlahbib B. Batoun B. 21 03 2015 5 4 (FALL) 319 333 15 04 2016 15 04 2016 Copyright © 2015, Islamic Azad University, Central Tehran Branch. 2015 http://ijm2c.iauctb.ac.ir/article_521903.html

The aim of this paper is to design a Fractional Order Sliding Mode Controllers (FOSMC)for a class of DC-DC converters such as boost and buck converters. Firstly, the control lawis designed with respect to the properties of fractional calculus, the design yields an equiv-alent control term with an addition of discontinuous (attractive) control law. Secondly, themathematical proof of the stability condition and convergence of the proposed fractionalorder sliding surface is presented. Finally the effectiveness and robustness of the proposed ap-proaches compared with classical SMCs are demonstrated by simulation results with differentcases.

DC-DC Buck converter DC-DC Boost converter fractional order calculus FOSMC
Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 Islamic Azad University, Central Tehran Branch 521904 unavailable ADOMIAN DECOMPOSITION METHOD AND PADÉ APPROXIMATION TO DETERMINE FIN EFFICIENCY OF CONVECTIVE SOLAR AIR COLLECTOR IN STRAIGHT FINS Ismail Tabet Algeria Kezzar M. Touafe K. Bellel N. Gherieb S. Khelifa A. Adouane M. 21 03 2015 5 4 (FALL) 335 346 15 04 2016 15 04 2016 Copyright © 2015, Islamic Azad University, Central Tehran Branch. 2015 http://ijm2c.iauctb.ac.ir/article_521904.html

In this paper, the nonlinear differential equation for the convection of the temperature distribution of a straight fin  with the thermal conductivity depends on the temperature is solved using Adomian Decomposition Method and Padé approximation(PADM) for boundary problems. Actual results are then compared with results obtained previously  using digital solution by Runge–Kuttamethod and a differential transformation method (DTM) in order toverify the  accuracy of the proposed method.

Fin efficiency Thermal conductivity Adomian Decomposition Method (ADM) Differential TransformationMethod (DTM) Numerical Solution (NS)
Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 Islamic Azad University, Central Tehran Branch 521905 unavailable DYNAMIC COMPLEXITY OF A THREE SPECIES COMPETITIVE FOOD CHAIN MODEL WITH INTER AND INTRA SPECIFIC COMPETITIONS Ali N. Chakravarty Santabrata Visva-Bharati University India 21 03 2015 5 4 (FALL) 347 360 15 04 2016 15 04 2016 Copyright © 2015, Islamic Azad University, Central Tehran Branch. 2015 http://ijm2c.iauctb.ac.ir/article_521905.html

The present article deals with the inter specific competition and intra-specific competition among predator populations of a prey-dependent three component food chain model consisting of two competitive predator sharing one prey species as their food. The behaviour of the system near the biologically feasible equilibria is thoroughly analyzed. Boundedness and dissipativeness of the system are established. Stability analysis including local and global stability of the equilibria has been carried out in order to examine the dynamic behaviour of the system. The present system experiences Hopf-Andronov bifurcation for suitable choice of parameter values. As a result, intra-specific competition among predator populations can be beneficial for the survival of predator. The ecological implications of both the analytical and numerical findings are discussed at length towards the end.

food chain Inter and intra-specific competition Global stability Hopf-Andronov bifurcations Lyapunov function
Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 Islamic Azad University, Central Tehran Branch 521906 unavailable APPROXIMATION SOLUTION OF TWO-DIMENSIONAL LINEAR STOCHASTIC FREDHOLM INTEGRAL EQUATION BY APPLYING THE HAAR WAVELET Khodabin Morteza Karaj Branch, Islamic Azad University Iran, Islamic Republic of Maleknejad Khosrow Iran, Islamic Republic of Fallahpour Mohsen Iran, Islamic Republic of 21 03 2015 5 4 (FALL) 361 372 15 04 2016 15 04 2016 Copyright © 2015, Islamic Azad University, Central Tehran Branch. 2015 http://ijm2c.iauctb.ac.ir/article_521906.html

In this paper, we introduce an efficient method based on Haar wavelet to approximate a solutionfor the two-dimensional linear stochastic Fredholm integral equation. We also give an example to demonstrate the accuracy of the method.

Haar wavelet Two-dimensional stochastic Fredholm integral equation Brownian motion process