ORIGINAL_ARTICLE TENSION QUARTIC TRIGONOMETRIC BÉZIER CURVES PRESERVING INTERPOLATION CURVES SHAPE 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. http://ijm2c.iauctb.ac.ir/article_521885_348452facbb6e1a43c953e8905125e3d.pdf 2015-03-21 99 109 Trigonometric B´ezier Curves Tension Parameter Shape Parameter interpolation Abdellah Lamnii 1 Faculty of Science and Technology, University Hassan first, Settat, Morocco Morocco AUTHOR Fatima Oumellal 2 AUTHOR Jaoud Dabounou 3 AUTHOR
ORIGINAL_ARTICLE B-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS 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. http://ijm2c.iauctb.ac.ir/article_521886_547d293d416596fe5387118423673697.pdf 2015-03-21 111 125 Two-point boundary value problem Quartic B-spline Convergence analysis error Jalil Rashidinia 1 Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran Iran, Islamic Republic of AUTHOR Shokofeh Sharifi 2 Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran Iran, Islamic Republic of AUTHOR
ORIGINAL_ARTICLE GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE $L^P(R)$ 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 $\alpha>-\frac{1}{2}$.   http://ijm2c.iauctb.ac.ir/article_521887_9c0c58c82f2cecd816de22aca8fa5aaa.pdf 2015-03-21 127 131 Dunkl operator Dunkl transform generalized translation Dunkl operator Elhamma Mohamed 1 AUTHOR Hind Lahlai 2 AUTHOR Radouan Daher 3 AUTHOR
ORIGINAL_ARTICLE ON THE ALMOSTLY SURE CONVERGENCE OF THE SEQUENCE D_P,Q 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. http://ijm2c.iauctb.ac.ir/article_521888_95d42ff96ad7a77ec8448cc407fc22d5.pdf 2015-03-21 133 139 Borel-Cantelli Fuzzy Random Variables Negatively Quadrant Dependent Hamid Reza Moradi 1 Iran, Islamic Republic of AUTHOR Einolah Deiri 2 Faculty member Islamic University of Qaemshahr University Iran, Islamic Republic of AUTHOR
ORIGINAL_ARTICLE A MODIFIED METHOD TO DETERMINE A WELL-DISPERSED SUBSET OF NON-DOMINATED VECTORS OF AN MOMILP PROBLEM 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. http://ijm2c.iauctb.ac.ir/article_521889_4265fd8259b099824e6e1893cede717c.pdf 2015-03-21 141 147 L1−norm Multi-objective mixed integer linear programming (MOMILP) problem well-dispersed non-dominated vectors Ghasem Tohidi 1 Department of Mathematics, Islamic Azad University, Central Tehran Branch, Iran Iran, Islamic Republic of AUTHOR Shabnam Razavyan 2 AUTHOR
ORIGINAL_ARTICLE EXTENDED PREDICTOR-CORRECTOR METHODS FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY 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. http://ijm2c.iauctb.ac.ir/article_521890_0a895410deabddf785c0e6db8756739d.pdf 2015-03-21 149 171 Fuzzy-number-valued function Generalized dierentiability Fuzzy dierential equation Adams-Bashforth method Adams-Moulton method Predictor-Corrector method Mahnaz Barkhordarii 1 Iran, Islamic Republic of AUTHOR N. Kiani 2 AUTHOR Nasser Mikaeilvand 3 AUTHOR
ORIGINAL_ARTICLE ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS 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.   http://ijm2c.iauctb.ac.ir/article_521891_b7d4ca602283e01dbbf9e8e73a7b6f28.pdf 2015-03-21 173 184 Queue Finite buffer Markovian service process balking Waiting-time Vijaya Laxmi Pikkala 1 AUTHOR Jyothsna Kanithi 2 AUTHOR
ORIGINAL_ARTICLE DISPERSION OF CONTAMINANTS IN GROUNDWATER WITH CHEMICAL REACTION 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. http://ijm2c.iauctb.ac.ir/article_521892_e9e3e7fa92e4412198ed2e626a4770be.pdf 2015-03-21 185 201 Generalized-Dispersion model Groundwater Contaminants Porous medium Reaction rate parameter Nirmala P. Ratchagar 1 AUTHOR S. Senthamilselvi 2 AUTHOR P. Meenapriya 3 AUTHOR