Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
5
4 (FALL)
2015
03
21
NUMERICAL SOLUTION OF ONE-DIMENSIONAL HEAT AND WAVE EQUATION BY NON-POLYNOMIAL QUINTIC SPLINE
291
305
EN
Jalil
Rashidinia
Department of Mathematics, Iran University of Science and Technology,
Iran, Islamic Republic of
Mohamadreza
Mohsenyzade
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
http://ijm2c.iauctb.ac.ir/article_521901.html
http://ijm2c.iauctb.ac.ir/article_521901_936793ccd67aa883ea91bb8556e0da36.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
5
4 (FALL)
2015
03
21
LIMITED GROWTH PREY MODEL AND PREDATOR MODEL USING HARVESTING
307
318
EN
Vijaya Rekha
Rekha
http://www.annamalaiuniversity.ac.in
Department of mathematics,Annamalai university
India
Assistant professor, Department of Mathematics, Annamalai university.
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
http://ijm2c.iauctb.ac.ir/article_521902.html
http://ijm2c.iauctb.ac.ir/article_521902_9a677f0d5a98a73da478146fb8484dbb.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
5
4 (FALL)
2015
03
21
SLIDING MODE CONTROL BASED ON FRACTIONAL ORDER CALCULUS FOR DC-DC CONVERTERS
319
333
EN
Noureddine
Bouarroudj
Unité de Recherche Appliquée en Energies Renouvelables, URAER, Centre de Développement des Energies Renouvelables, CDER, 47133 Ghardaïa, Algeria
Algeria
D.
Boukhetala
B.
Benlahbib
B.
Batoun
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
http://ijm2c.iauctb.ac.ir/article_521903.html
http://ijm2c.iauctb.ac.ir/article_521903_6dcc0e7d8decb0f28ded6044741b77e4.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
5
4 (FALL)
2015
03
21
ADOMIAN DECOMPOSITION METHOD AND PADÉ APPROXIMATION TO DETERMINE FIN EFFICIENCY OF CONVECTIVE SOLAR AIR COLLECTOR IN STRAIGHT FINS
335
346
EN
Tabet
Ismail
Algeria
M.
Kezzar
K.
Touafe
N.
Bellel
S.
Gherieb
A.
Khelifa
M.
Adouane
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)
http://ijm2c.iauctb.ac.ir/article_521904.html
http://ijm2c.iauctb.ac.ir/article_521904_c066f626b5622b5a31ac24f1d3990801.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
5
4 (FALL)
2015
03
21
DYNAMIC COMPLEXITY OF A THREE SPECIES COMPETITIVE FOOD CHAIN MODEL WITH INTER AND INTRA SPECIFIC COMPETITIONS
347
360
EN
N.
Ali
Santabrata
Chakravarty
Visva-Bharati University
India
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
http://ijm2c.iauctb.ac.ir/article_521905.html
http://ijm2c.iauctb.ac.ir/article_521905_792a15353565c5b8329cab70652e91f6.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
5
4 (FALL)
2015
03
21
APPROXIMATION SOLUTION OF TWO-DIMENSIONAL LINEAR STOCHASTIC FREDHOLM INTEGRAL EQUATION BY APPLYING THE HAAR WAVELET
361
372
EN
Morteza
Khodabin
Karaj Branch, Islamic Azad University
Iran, Islamic Republic of
Khosrow
Maleknejad
Iran, Islamic Republic of
Mohsen
Fallahpour
Iran, Islamic Republic of
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
http://ijm2c.iauctb.ac.ir/article_521906.html
http://ijm2c.iauctb.ac.ir/article_521906_7f235bc58a75400bffaa9e3923b2af38.pdf