Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622552 (SPRING)20150321TENSION QUARTIC TRIGONOMETRIC BÉZIER CURVES PRESERVING INTERPOLATION CURVES SHAPE99109521885ENAbdellah LamniiFaculty of Science and Technology, University Hassan first, Settat, Morocco
MoroccoFatima OumellalJaoud DabounouJournal Article20160415<span>In this paper simple quartic trigonometric polynomial blending functions, with a tension</span><br /><span>parameter, are presented. These type of functions are useful for constructing trigonometric</span><br /><span>B´ezier curves and surfaces, they can be applied to construct continuous shape preserving</span><br /><span>interpolation spline curves with shape parameters. To better visualize objects and graphics a</span><br /><span>tension parameter is included. In this work we constructed the Trigonometric B´ezier curves</span><br /><span>followed by a construction of the shape preserving interpolation spline curves with local</span><br /><span>shape parameters and finally several numerical examples are presented such as open shape</span><br /><span>preserving interpolation curve, closed shape preserving interpolation curve and surfaces. As</span><br /><span>a direct application we computed the area surrounded by a closed curve.</span>Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622552 (SPRING)20150321B-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS111125521886ENJalil RashidiniaDepartment of Mathematics, Islamic Azad University,Central Tehran Branch, Iran
Iran, Islamic Republic ofShokofeh SharifiDepartment of Mathematics, Islamic Azad University,Central Tehran Branch, Iran
Iran, Islamic Republic ofJournal Article20160415In this work the collocation method based on quartic B-spline is developed and
applied to two-point boundary value problem in ordinary diferential equations. The error analysis and convergence of presented method is discussed. The method illustrated by two test examples which verify that the presented method is applicable and considerable accurate.Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622552 (SPRING)20150321GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE $L^P(R)$127131521887ENElhamma MohamedHind LahlaiRadouan DaherJournal Article20160415In this paper, using a generalized Dunkl translation operator, we obtain a generalization of Titchmarsh's Theorem for the Dunkl transform for functions satisfying the$(psi,p)$-Lipschitz Dunkl condition in the space $mathrm{L}_{p,alpha}=mathrm{L}^{p}(mathbb{R},|x|^{2alpha+1}dx)$, where $alpha>-frac{1}{2}$.
Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622552 (SPRING)20150321ON THE ALMOSTLY SURE CONVERGENCE OF THE SEQUENCE D_P,Q133139521888ENHamid Reza MoradiIran, Islamic Republic ofEinolah DeiriFaculty member Islamic University of Qaemshahr University
Iran, Islamic Republic ofJournal Article20160415<span>In this paper, we will discuss the concept of almost sure convergence for specic groups of fuzzy</span><br /><span>random variables. For this purpose, we use the type of generalized Chebyshev inequalities.</span><br /><span>Moreover, we show the concept of almost sure convergence of weighted average pairwise NQD</span><br /><span>of fuzzy random variables.</span>Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622552 (SPRING)20150321A MODIFIED METHOD TO DETERMINE A WELL-DISPERSED SUBSET OF NON-DOMINATED VECTORS OF AN MOMILP PROBLEM141147521889ENGhasem TohidiDepartment of Mathematics, Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic ofShabnam RazavyanJournal Article20160415<span>This paper uses the L1−norm and the concept of the non-dominated vector, to</span><br /><span>propose a method to find a well-dispersed subset of non-dominated (WDSND) vectors</span><br /><span>of a multi-objective mixed integer linear programming (MOMILP) problem.</span><br /><span>The proposed method generalizes the proposed approach by Tohidi and Razavyan</span><br /><span>[Tohidi G., S. Razavyan (2014), determining a well-dispersed subset of non-dominated</span><br /><span>vectors of multi-objective integer linear programming problem, International Journal</span><br /><span>of Industrial Mathematics, (Accepted for publication)] to find a WDSND vectors of an</span><br /><span>MOMILP problem.</span>Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622552 (SPRING)20150321EXTENDED PREDICTOR-CORRECTOR METHODS FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY149171521890ENMahnaz BarkhordariiIran, Islamic Republic ofN. KianiNasser MikaeilvandJournal Article20160415<span>In this paper, the (m+1)-step Adams-Bashforth, Adams-Moulton, and Predictor-Corrector</span><br /><span>methods are used to solve rst-order linear fuzzy ordinary dierential equations. The concepts</span><br /><span>of fuzzy interpolation and generalised strongly dierentiability are used, to obtain</span><br /><span>general algorithms. Each of these algorithms has advantages over current methods. Moreover,</span><br /><span>for each algorithm a convergence formula can be obtained . The convergence of these</span><br /><span>methods is proven in detail. Finally, these methods are illustrated using example initial value</span><br /><span>problems.</span>Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622552 (SPRING)20150321ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS173184521891ENVijaya Laxmi PikkalaJyothsna KanithiJournal Article20160415This paper presents the analysis of a renewal input finite buffer queue wherein the customers can decide either to join the queue with a probability or balk. The service process is Markovian service process ($MSP$) governed by an underlying $m$-state Markov chain. Employing the supplementary variable and imbedded Markov chain techniques, the steady-state system length distributions at pre-arrival and arbitrary epochs are obtained. Based on the system length distributions, some performance measures of the model and waiting-time analysis are presented. Finally, numerical results are displayed to show the effect of model parameters on the key performance measures.
Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622552 (SPRING)20150321DISPERSION OF CONTAMINANTS IN GROUNDWATER WITH CHEMICAL REACTION185201521892ENNirmala P. RatchagarS. SenthamilselviP. MeenapriyaJournal Article20160415<span>A mathematical model presented in this paper describes the dispersion and concentration of</span><br /><span>contaminants (fine and coarse) in porous medium with the effect of chemical reaction. Solute</span><br /><span>transport in porous media is discussed by means of advection-dispersion equation. The effect</span><br /><span>of particle mass parameter and reaction rate parameter on the dispersion coefficient and mean</span><br /><span>concentration of a chemical solute is studied by introducing a slug of finite length. Analytical</span><br /><span>solutions are obtained by varying the dimensionless time, axial distance and length of the</span><br /><span>solute. The results are depicted using graphs.</span>