2022-07-04T02:17:46Z http://ijm2c.iauctb.ac.ir/?_action=export&rf=summon&issue=112387
2015-03-21 10.30495
International Journal of Mathematical Modelling & Computations 2228-6225 2228-6225 2015 5 2 (SPRING) TENSION QUARTIC TRIGONOMETRIC BÉZIER CURVES PRESERVING INTERPOLATION CURVES SHAPE Abdellah Lamnii Fatima Oumellal Jaoud Dabounou 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. Trigonometric B´ezier Curves Tension Parameter Shape Parameter interpolation 2015 03 21 99 109 http://ijm2c.iauctb.ac.ir/article_521885_348452facbb6e1a43c953e8905125e3d.pdf
2015-03-21 10.30495
International Journal of Mathematical Modelling & Computations 2228-6225 2228-6225 2015 5 2 (SPRING) B-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS Jalil Rashidinia Shokofeh Sharifi 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. Two-point boundary value problem Quartic B-spline Convergence analysis error 2015 03 21 111 125 http://ijm2c.iauctb.ac.ir/article_521886_547d293d416596fe5387118423673697.pdf
2015-03-21 10.30495
International Journal of Mathematical Modelling & Computations 2228-6225 2228-6225 2015 5 2 (SPRING) GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE $L^P(R)$ Elhamma Mohamed Hind Lahlai Radouan Daher 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 $\alpha>-\frac{1}{2}$.   Dunkl operator Dunkl transform generalized translation Dunkl operator 2015 03 21 127 131 http://ijm2c.iauctb.ac.ir/article_521887_9c0c58c82f2cecd816de22aca8fa5aaa.pdf
2015-03-21 10.30495
International Journal of Mathematical Modelling & Computations 2228-6225 2228-6225 2015 5 2 (SPRING) ON THE ALMOSTLY SURE CONVERGENCE OF THE SEQUENCE D_P,Q Hamid Reza Moradi Einolah Deiri 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. Borel-Cantelli Fuzzy Random Variables Negatively Quadrant Dependent 2015 03 21 133 139 http://ijm2c.iauctb.ac.ir/article_521888_95d42ff96ad7a77ec8448cc407fc22d5.pdf
2015-03-21 10.30495
International Journal of Mathematical Modelling & Computations 2228-6225 2228-6225 2015 5 2 (SPRING) A MODIFIED METHOD TO DETERMINE A WELL-DISPERSED SUBSET OF NON-DOMINATED VECTORS OF AN MOMILP PROBLEM Ghasem Tohidi Shabnam Razavyan 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. L1−norm Multi-objective mixed integer linear programming (MOMILP) problem well-dispersed non-dominated vectors 2015 03 21 141 147 http://ijm2c.iauctb.ac.ir/article_521889_4265fd8259b099824e6e1893cede717c.pdf
2015-03-21 10.30495
International Journal of Mathematical Modelling & Computations 2228-6225 2228-6225 2015 5 2 (SPRING) EXTENDED PREDICTOR-CORRECTOR METHODS FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY Mahnaz Barkhordarii N. Kiani Nasser Mikaeilvand 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. Fuzzy-number-valued function Generalized dierentiability Fuzzy dierential equation Adams-Bashforth method Adams-Moulton method Predictor-Corrector method 2015 03 21 149 171 http://ijm2c.iauctb.ac.ir/article_521890_0a895410deabddf785c0e6db8756739d.pdf
2015-03-21 10.30495
International Journal of Mathematical Modelling & Computations 2228-6225 2228-6225 2015 5 2 (SPRING) ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS Vijaya Laxmi Pikkala Jyothsna Kanithi 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.   Queue Finite buffer Markovian service process balking Waiting-time 2015 03 21 173 184 http://ijm2c.iauctb.ac.ir/article_521891_b7d4ca602283e01dbbf9e8e73a7b6f28.pdf
2015-03-21 10.30495
International Journal of Mathematical Modelling & Computations 2228-6225 2228-6225 2015 5 2 (SPRING) DISPERSION OF CONTAMINANTS IN GROUNDWATER WITH CHEMICAL REACTION Nirmala P. Ratchagar S. Senthamilselvi P. Meenapriya 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. Generalized-Dispersion model Groundwater Contaminants Porous medium Reaction rate parameter 2015 03 21 185 201 http://ijm2c.iauctb.ac.ir/article_521892_e9e3e7fa92e4412198ed2e626a4770be.pdf