Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
5
2 (SPRING)
2015
03
21
TENSION QUARTIC TRIGONOMETRIC BÉZIER CURVES PRESERVING INTERPOLATION CURVES SHAPE
99
109
EN
Abdellah
Lamnii
Faculty of Science and Technology, University Hassan first, Settat, Morocco
Morocco
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
http://ijm2c.iauctb.ac.ir/article_521885.html
http://ijm2c.iauctb.ac.ir/article_521885_348452facbb6e1a43c953e8905125e3d.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
5
2 (SPRING)
2015
03
21
B-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS
111
125
EN
Jalil
Rashidinia
Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran
Iran, Islamic Republic of
Shokofeh
Sharifi
Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran
Iran, Islamic Republic of
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
http://ijm2c.iauctb.ac.ir/article_521886.html
http://ijm2c.iauctb.ac.ir/article_521886_547d293d416596fe5387118423673697.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
5
2 (SPRING)
2015
03
21
GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE $L^P(R)$
127
131
EN
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 $mathrm{L}_{p,alpha}=mathrm{L}^{p}(mathbb{R},|x|^{2alpha+1}dx)$, where $alpha>-frac{1}{2}$.
Dunkl operator,Dunkl transform,generalized translation Dunkl operator
http://ijm2c.iauctb.ac.ir/article_521887.html
http://ijm2c.iauctb.ac.ir/article_521887_9c0c58c82f2cecd816de22aca8fa5aaa.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
5
2 (SPRING)
2015
03
21
ON THE ALMOSTLY SURE CONVERGENCE OF THE SEQUENCE D_P,Q
133
139
EN
Hamid Reza
Moradi
Iran, Islamic Republic of
Einolah
Deiri
Faculty member Islamic University of Qaemshahr University
Iran, Islamic Republic of
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
http://ijm2c.iauctb.ac.ir/article_521888.html
http://ijm2c.iauctb.ac.ir/article_521888_95d42ff96ad7a77ec8448cc407fc22d5.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
5
2 (SPRING)
2015
03
21
A MODIFIED METHOD TO DETERMINE A WELL-DISPERSED SUBSET OF NON-DOMINATED VECTORS OF AN MOMILP PROBLEM
141
147
EN
Ghasem
Tohidi
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
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
http://ijm2c.iauctb.ac.ir/article_521889.html
http://ijm2c.iauctb.ac.ir/article_521889_4265fd8259b099824e6e1893cede717c.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
5
2 (SPRING)
2015
03
21
EXTENDED PREDICTOR-CORRECTOR METHODS FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY
149
171
EN
Mahnaz
Barkhordarii
Iran, Islamic Republic of
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
http://ijm2c.iauctb.ac.ir/article_521890.html
http://ijm2c.iauctb.ac.ir/article_521890_0a895410deabddf785c0e6db8756739d.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
5
2 (SPRING)
2015
03
21
ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS
173
184
EN
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
http://ijm2c.iauctb.ac.ir/article_521891.html
http://ijm2c.iauctb.ac.ir/article_521891_b7d4ca602283e01dbbf9e8e73a7b6f28.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
5
2 (SPRING)
2015
03
21
DISPERSION OF CONTAMINANTS IN GROUNDWATER WITH CHEMICAL REACTION
185
201
EN
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
http://ijm2c.iauctb.ac.ir/article_521892.html
http://ijm2c.iauctb.ac.ir/article_521892_e9e3e7fa92e4412198ed2e626a4770be.pdf