Islamic Azad University, Central tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 5 3 (SUMMER) 2015 03 21 APPLICATION OF DIFFERENTIAL TRANSFORM METHOD TO SOLVE HYBRID FUZZY DIFFERENTIAL EQUATIONS 203 217 521893 EN Mahmoud Paripour Department of Mathematics, Hamedan University of Technology, Hamedan, 65156-579, Iran Iran, Islamic Republic of Homa Heidari Elahe Hajilou Journal Article 2016 04 15 In 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 Branch International Journal of Mathematical Modelling & Computations 2228-6225 5 3 (SUMMER) 2015 03 21 SOLVING NONLINEAR TWO-DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS OF THE FIRST-KIND USING BIVARIATE SHIFTED LEGENDRE FUNCTIONS 219 230 521894 EN Somayeh Nemati Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran Y. Ordokhani Journal Article 2016 04 15 <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 Branch International Journal of Mathematical Modelling & Computations 2228-6225 5 3 (SUMMER) 2015 03 21 AN M/G/1 QUEUE WITH REGULAR AND OPTIONAL PHASE VACATION AND WITH STATE DEPENDENT ARRIVAL RATE 231 244 521895 EN Rathinasabapathy Kalyanaraman Professor of Mathematics, Annamalai University India Professor of Mathematics 2nd Shanthi R Assistant professor Annamalai University India Research Scholar Journal Article 2016 04 15 <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 Branch International Journal of Mathematical Modelling & Computations 2228-6225 5 3 (SUMMER) 2015 03 21 A NOTE ON "A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS" 245 249 521896 EN Paria Assari ORCID iD Islamic Azad University, Hamedan Branch Iran, Islamic Republic of Taher Lotfi Islamic Azad University, Hamedan Branch Iran, Islamic Republic of Journal Article 2016 04 15 In 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 Branch International Journal of Mathematical Modelling & Computations 2228-6225 5 3 (SUMMER) 2015 03 21 A STRONG COMPUTATIONAL METHOD FOR SOLVING OF SYSTEM OF INFINITE BOUNDARY INTEGRO-DIFFERENTIAL EQUATIONS 251 258 521897 EN M. Matinfar University of Mazandaran Iran, Islamic Republic of Abbas Riahifar University of Mazandaran Iran, Islamic Republic of H. Abdollahi University of Mazandaran Iran, Islamic Republic of Journal Article 2016 04 15 The 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 Branch International Journal of Mathematical Modelling & Computations 2228-6225 5 3 (SUMMER) 2015 03 21 NON-STANDARD FINITE DIFFERENCE METHOD FOR NUMERICAL SOLUTION OF SECOND ORDER LINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS 259 266 521898 EN Pramod Kumar Pandey Dyal Singh College (University of Delhi) India Department of Mathematics Journal Article 2016 04 15 <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 Branch International Journal of Mathematical Modelling & Computations 2228-6225 5 3 (SUMMER) 2015 03 21 OPTIMUM GENERALIZED COMPOUND LINEAR PLAN FOR MULTIPLE-STEP STEP-STRESS ACCELERATED LIFE TESTS 267 275 521899 EN Navin Chandra Pondicherry University India Department of Statistics Mashroor Ahmad Kha Journal Article 2016 04 15 In 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 . 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 Branch International Journal of Mathematical Modelling & Computations 2228-6225 5 3 (SUMMER) 2015 03 21 EFFECT OF COUNTERPROPAGATING CAPILLARY GRAVITY WAVE PACKETS ON THIRD ORDER NONLINEAR ‎‎E‎VOLUTION EQUATIONS IN THE PRESENCE OF WIND FLOWING OVER WATER 277 289 521900 EN A. K. Dhar Joydev Mondal IIEST,WESTBENGAL,INDIA India IIEST,MATHEMATICS,SHIBPUR,WESTBENGAL, INDIA Journal Article 2016 04 15 <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>