TENSION QUARTIC TRIGONOMETRIC BÉZIER CURVES PRESERVING INTERPOLATION CURVES SHAPE Abdellah Lamnii Faculty of Science and Technology, University Hassan first, Settat, Morocco Morocco author Fatima Oumellal author Jaoud Dabounou author text article 2015 eng In this paper simple quartic trigonometric polynomial blending functions, with a tensionparameter, are presented. These type of functions are useful for constructing trigonometricB´ezier curves and surfaces, they can be applied to construct continuous shape preservinginterpolation spline curves with shape parameters. To better visualize objects and graphics atension parameter is included. In this work we constructed the Trigonometric B´ezier curvesfollowed by a construction of the shape preserving interpolation spline curves with localshape parameters and finally several numerical examples are presented such as open shapepreserving interpolation curve, closed shape preserving interpolation curve and surfaces. Asa direct application we computed the area surrounded by a closed curve. International Journal of Mathematical Modelling & Computations Islamic Azad University, Central Tehran Branch 2228-6225 5 v. 2 (SPRING) no. 2015 99 109 http://ijm2c.iauctb.ac.ir/article_521885_348452facbb6e1a43c953e8905125e3d.pdf B-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS Jalil Rashidinia Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran Iran, Islamic Republic of author Shokofeh Sharifi Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran Iran, Islamic Republic of author text article 2015 eng In 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. International Journal of Mathematical Modelling & Computations Islamic Azad University, Central Tehran Branch 2228-6225 5 v. 2 (SPRING) no. 2015 111 125 http://ijm2c.iauctb.ac.ir/article_521886_547d293d416596fe5387118423673697.pdf GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE $L^P(R)$ Elhamma Mohamed author Hind Lahlai author Radouan Daher author text article 2015 eng In 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 $\mathrm{L}_{p,\alpha}=\mathrm{L}^{p}(\mathbb{R},|x|^{2\alpha+1}dx)$‎, ‎where $\alpha>-\frac{1}{2}$.   International Journal of Mathematical Modelling & Computations Islamic Azad University, Central Tehran Branch 2228-6225 5 v. 2 (SPRING) no. 2015 127 131 http://ijm2c.iauctb.ac.ir/article_521887_9c0c58c82f2cecd816de22aca8fa5aaa.pdf ON THE ALMOSTLY SURE CONVERGENCE OF THE SEQUENCE D_P,Q Hamid Reza Moradi Iran, Islamic Republic of author Einolah Deiri Faculty member Islamic University of Qaemshahr University Iran, Islamic Republic of author text article 2015 eng In this paper, we will discuss the concept of almost sure convergence for specic groups of fuzzyrandom variables. For this purpose, we use the type of generalized Chebyshev inequalities.Moreover, we show the concept of almost sure convergence of weighted average pairwise NQDof fuzzy random variables. International Journal of Mathematical Modelling & Computations Islamic Azad University, Central Tehran Branch 2228-6225 5 v. 2 (SPRING) no. 2015 133 139 http://ijm2c.iauctb.ac.ir/article_521888_95d42ff96ad7a77ec8448cc407fc22d5.pdf A MODIFIED METHOD TO DETERMINE A WELL-DISPERSED SUBSET OF NON-DOMINATED VECTORS OF AN MOMILP PROBLEM Ghasem Tohidi Department of Mathematics, Islamic Azad University, Central Tehran Branch, Iran Iran, Islamic Republic of author Shabnam Razavyan author text article 2015 eng This paper uses the L1−norm and the concept of the non-dominated vector, topropose a method to find a well-dispersed subset of non-dominated (WDSND) vectorsof a multi-objective mixed integer linear programming (MOMILP) problem.The proposed method generalizes the proposed approach by Tohidi and Razavyan[Tohidi G., S. Razavyan (2014), determining a well-dispersed subset of non-dominatedvectors of multi-objective integer linear programming problem, International Journalof Industrial Mathematics, (Accepted for publication)] to find a WDSND vectors of anMOMILP problem. International Journal of Mathematical Modelling & Computations Islamic Azad University, Central Tehran Branch 2228-6225 5 v. 2 (SPRING) no. 2015 141 147 http://ijm2c.iauctb.ac.ir/article_521889_4265fd8259b099824e6e1893cede717c.pdf EXTENDED PREDICTOR-CORRECTOR METHODS FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY Mahnaz Barkhordarii Iran, Islamic Republic of author N. Kiani author Nasser Mikaeilvand author text article 2015 eng In this paper, the (m+1)-step Adams-Bashforth, Adams-Moulton, and Predictor-Correctormethods are used to solve rst-order linear fuzzy ordinary dierential equations. The conceptsof fuzzy interpolation and generalised strongly dierentiability are used, to obtaingeneral algorithms. Each of these algorithms has advantages over current methods. Moreover,for each algorithm a convergence formula can be obtained . The convergence of thesemethods is proven in detail. Finally, these methods are illustrated using example initial valueproblems. International Journal of Mathematical Modelling & Computations Islamic Azad University, Central Tehran Branch 2228-6225 5 v. 2 (SPRING) no. 2015 149 171 http://ijm2c.iauctb.ac.ir/article_521890_0a895410deabddf785c0e6db8756739d.pdf ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS Vijaya Laxmi Pikkala author Jyothsna Kanithi author text article 2015 eng This 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.   International Journal of Mathematical Modelling & Computations Islamic Azad University, Central Tehran Branch 2228-6225 5 v. 2 (SPRING) no. 2015 173 184 http://ijm2c.iauctb.ac.ir/article_521891_b7d4ca602283e01dbbf9e8e73a7b6f28.pdf DISPERSION OF CONTAMINANTS IN GROUNDWATER WITH CHEMICAL REACTION Nirmala P. Ratchagar author S. Senthamilselvi author P. Meenapriya author text article 2015 eng A mathematical model presented in this paper describes the dispersion and concentration ofcontaminants (fine and coarse) in porous medium with the effect of chemical reaction. Solutetransport in porous media is discussed by means of advection-dispersion equation. The effectof particle mass parameter and reaction rate parameter on the dispersion coefficient and meanconcentration of a chemical solute is studied by introducing a slug of finite length. Analyticalsolutions are obtained by varying the dimensionless time, axial distance and length of thesolute. The results are depicted using graphs. International Journal of Mathematical Modelling & Computations Islamic Azad University, Central Tehran Branch 2228-6225 5 v. 2 (SPRING) no. 2015 185 201 http://ijm2c.iauctb.ac.ir/article_521892_e9e3e7fa92e4412198ed2e626a4770be.pdf