2015
5
4
4
0
NUMERICAL SOLUTION OF ONEDIMENSIONAL HEAT AND WAVE EQUATION BY NONPOLYNOMIAL QUINTIC SPLINE
2
2
This paper present a novel numerical algorithm for the linear onedimensional 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 eighthorder accuracy in spaceand fourthorder 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.
1

291
305


Jalil
Rashidinia
Department of Mathematics, Iran University of Science and Technology,
Iran, Islamic Republic of
Department of Mathematics, Iran University
Iran


Mohamadreza
Mohsenyzade
Iran
Dierential Equation
Quintic Spline
Heat Equation
Wave Equation
Taylor Approximation
LIMITED GROWTH PREY MODEL AND PREDATOR MODEL USING HARVESTING
2
2
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
1

307
318


Vijaya Rekha
Rekha
http://www.annamalaiuniversity.ac.in
Department of mathematics,Annamalai university
India
Assistant professor, Department of Mathematics, Annamalai university.
http://www.annamalaiuniversity.ac.in
Department
Iran
Predator prey model
harvesting
Stability
optimal harvest policy
equilibrium point
Pontryagins maximum principle
SLIDING MODE CONTROL BASED ON FRACTIONAL ORDER CALCULUS FOR DCDC CONVERTERS
2
2
The aim of this paper is to design a Fractional Order Sliding Mode Controllers (FOSMC)for a class of DCDC converters such as boost and buck converters. Firstly, the control lawis designed with respect to the properties of fractional calculus, the design yields an equivalent 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 approaches compared with classical SMCs are demonstrated by simulation results with differentcases.
1

319
333


Noureddine
Bouarroudj
Unité de Recherche Appliquée en Energies Renouvelables, URAER, Centre de Développement des Energies Renouvelables, CDER, 47133 Ghardaïa, Algeria
Algeria
Unité de Recherche Appliquée
Iran


D.
Boukhetala
Iran


B.
Benlahbib
Iran


B.
Batoun
Iran
DCDC Buck converter
DCDC Boost converter
fractional order calculus
FOSMC
ADOMIAN DECOMPOSITION METHOD AND PADÉ APPROXIMATION TO DETERMINE FIN EFFICIENCY OF CONVECTIVE SOLAR AIR COLLECTOR IN STRAIGHT FINS
2
2
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.
1

335
346


Tabet
Ismail
Algeria
Algeria
Iran


M.
Kezzar
Iran


K.
Touafe
Iran


N.
Bellel
Iran


S.
Gherieb
Iran


A.
Khelifa
Iran


M.
Adouane
Iran
Fin efficiency
Thermal Conductivity
Adomian Decomposition Method (ADM)
Differential TransformationMethod (DTM)
Numerical Solution (NS)
DYNAMIC COMPLEXITY OF A THREE SPECIES COMPETITIVE FOOD CHAIN MODEL WITH INTER AND INTRA SPECIFIC COMPETITIONS
2
2
The present article deals with the inter specific competition and intraspecific competition among predator populations of a preydependent 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 HopfAndronov bifurcation for suitable choice of parameter values. As a result, intraspecific 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.
1

347
360


N.
Ali
Iran


Santabrata
Chakravarty
VisvaBharati University
India
VisvaBharati University
India
Iran
Food chain
Inter and intraspecific competition
Global stability
HopfAndronov bifurcations
Lyapunov function
APPROXIMATION SOLUTION OF TWODIMENSIONAL LINEAR STOCHASTIC FREDHOLM INTEGRAL EQUATION BY APPLYING THE HAAR WAVELET
2
2
In this paper, we introduce an efficient method based on Haar wavelet to approximate a solutionfor the twodimensional linear stochastic Fredholm integral equation. We also give an example to demonstrate the accuracy of the method.
1

361
372


Morteza
Khodabin
Karaj Branch, Islamic Azad University
Iran, Islamic Republic of
Karaj Branch, Islamic Azad University
Iran,
Iran


Khosrow
Maleknejad
Iran, Islamic Republic of
Iran, Islamic Republic of
Iran


Mohsen
Fallahpour
Iran, Islamic Republic of
Iran, Islamic Republic of
Iran
Haar wavelet
Twodimensional stochastic Fredholm integral equation
Brownian motion process
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