Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622553 (SUMMER)20150321APPLICATION OF DIFFERENTIAL TRANSFORM METHOD TO SOLVE HYBRID FUZZY DIFFERENTIAL EQUATIONS203217521893ENMahmoud ParipourDepartment of Mathematics, Hamedan University of Technology, Hamedan, 65156-579, Iran
Iran, Islamic Republic ofHoma HeidariElahe HajilouJournal Article20160415In this paper, we study the numerical solution of hybrid fuzzy differential equations by using differential transformation method (DTM). This is powerful method which consider the approximate solution of a nonlinear equation as an infinite series usually converging to the accurate solution. Several numerical examples are given and by comparing the numerical results obtained from DTM and predictor corrector method (PCM), we have studied their accuracy.
Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622553 (SUMMER)20150321SOLVING NONLINEAR TWO-DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS OF THE FIRST-KIND USING BIVARIATE SHIFTED LEGENDRE FUNCTIONS219230521894ENSomayeh NematiDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, IranY. OrdokhaniJournal Article20160415<span>In this paper, a method for ﬁnding an approximate solution of a class of two-dimensional nonlinear Volterra integral equations of the ﬁrst-kind is proposed. This problem is transformed</span><br /><span>to a nonlinear two-dimensional Volterra integral equation of the second-kind. The properties of</span><br /><span>the bivariate shifted Legendre functions are presented. The operational matrices of integration</span><br /><span>together with the product operational matrix are utilized to reduce the solution of the second-kind equation to the solution of a system of linear algebraic equations. Finally, a system of nonlinear algebraic equations is obtained to give an approximate solution of the main problem.</span><br /><span>Also, numerical examples are included to demonstrate the validity and applicability of the</span><br /><span>method.</span>Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622553 (SUMMER)20150321AN M/G/1 QUEUE WITH REGULAR AND OPTIONAL PHASE VACATION AND WITH STATE DEPENDENT ARRIVAL RATE231244521895ENRathinasabapathy KalyanaramanProfessor of Mathematics, Annamalai University
India
Professor of Mathematics 2ndShanthi RAssistant professor Annamalai University
India
Research ScholarJournal Article20160415<span>We consider an M/G/1 queue with regular and optional phase vacation and with</span><br /><span>state dependent arrival rate. The vacation policy is after completion of service if there are no customers in the system, the server takes vacation consisting of K -phases, each phase is generally distributed. Here the first phase is compulsory where as the other phases are optional. For this model the supplementary variable technique has been applied to obtain the probability generating functions of number of customers in the queue at the different server states. Some particular models are obtained and a numerical study is also carried out.</span>Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622553 (SUMMER)20150321A NOTE ON "A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS"245249521896ENParia AssariORCID iD Islamic Azad University, Hamedan Branch
Iran, Islamic Republic ofTaher LotfiIslamic Azad University, Hamedan Branch
Iran, Islamic Republic ofJournal Article20160415In this study, we modify an iterative non-optimal without memory method, in such a way that is becomes optimal. Therefore, we obtain convergence order eight with the some functional evaluations. To justify our proposed method, some numerical examples are given.
Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622553 (SUMMER)20150321A STRONG COMPUTATIONAL METHOD FOR SOLVING OF SYSTEM OF INFINITE BOUNDARY INTEGRO-DIFFERENTIAL EQUATIONS251258521897ENM. MatinfarUniversity of Mazandaran
Iran, Islamic Republic ofAbbas RiahifarUniversity of Mazandaran
Iran, Islamic Republic ofH. AbdollahiUniversity of Mazandaran
Iran, Islamic Republic ofJournal Article20160415The introduced method in this study consists of reducing a system of
infinite boundary integro-differential equations (IBI-DE) into a system of al-
gebraic equations, by expanding the unknown functions, as a series in terms
of Laguerre polynomials with unknown coefficients. Properties of these polynomials and operational matrix of integration are rst presented. Finally, two examples illustrate the simplicity and the effectiveness of the proposed method have been presented.Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622553 (SUMMER)20150321NON-STANDARD FINITE DIFFERENCE METHOD FOR NUMERICAL SOLUTION OF SECOND ORDER LINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS259266521898ENPramod Kumar PandeyDyal Singh College (University of Delhi)
India
Department of MathematicsJournal Article20160415<span>In this article we have considered a non-standard finite difference method for the solution of second order Fredholm integro differential equation type initial value problems. The non-standard finite difference method and the composite trapezoidal quadrature method is used to transform the Fredholm integro-differential equation into a system of equations. We have also developed a numerical method for the numerical approximation of the derivative of the solution of the problems. The numerical results in experiment on some model problems show the simplicity and efficiency of the method. Numerical results showed that the proposed method is convergent and at least second order of accurate.</span>Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622553 (SUMMER)20150321OPTIMUM GENERALIZED COMPOUND LINEAR PLAN FOR MULTIPLE-STEP STEP-STRESS ACCELERATED LIFE TESTS267275521899ENNavin ChandraPondicherry University
India
Department of StatisticsMashroor Ahmad KhaJournal Article20160415In this paper, we consider an i.e., multiple step-stress accelerated life testing (ALT) experiment with unequal duration of time . It is assumed that the time to failure of a product follows Rayleigh distribution with a log-linear relationship between stress and lifetime and also we assume a generalized Khamis-Higgins model for the effect of changing stress levels. Taking into account that the problem of choosing the optimal time for 3-step step-stress tests under compound linear plan was initially attempted by Khamis and Higgins [16]. We ever first have developed a generalized compound linear plan for multiple-step step-stress setting using variance-optimality criteria. Some numerical examples are discussed to illustrate the proposed procedures.
Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622553 (SUMMER)20150321EFFECT OF COUNTERPROPAGATING CAPILLARY GRAVITY WAVE PACKETS ON THIRD ORDER NONLINEAR EVOLUTION EQUATIONS IN THE PRESENCE OF WIND FLOWING OVER WATER277289521900ENA. K. DharJoydev MondalIIEST,WESTBENGAL,INDIA
India
IIEST,MATHEMATICS,SHIBPUR,WESTBENGAL, INDIAJournal Article20160415<span>Asymptotically exact and nonlocal third order nonlinear evolution equations are derived</span><br /><span>for two counterpropagating surface capillary gravity wave packets in deep water in the</span><br /><span>presence of wind flowing over water.From these evolution equations stability analysis is</span><br /><span>made for a uniform standing surface capillary gravity wave trains for longitudinal perturbation. Instability condition is obtained and graphs are plotted for maximum growth rateof instability and for wave number at marginal stability against wave steepness for some different values of dimensionless wind velocity.</span>