eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2015-03-21
5
2 (SPRING)
99
109
521885
TENSION QUARTIC TRIGONOMETRIC BÉZIER CURVES PRESERVING INTERPOLATION CURVES SHAPE
Abdellah Lamnii
1
Fatima Oumellal
2
Jaoud Dabounou
3
Faculty of Science and Technology, University Hassan first, Settat, Morocco Morocco
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
Trigonometric B´ezier Curves
Tension Parameter
Shape Parameter
interpolation
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2015-03-21
5
2 (SPRING)
111
125
521886
B-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS
Jalil Rashidinia
1
Shokofeh Sharifi
2
Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran Iran, Islamic Republic of
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.
http://ijm2c.iauctb.ac.ir/article_521886_547d293d416596fe5387118423673697.pdf
Two-point boundary value problem
Quartic B-spline
Convergence analysis
error
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2015-03-21
5
2 (SPRING)
127
131
521887
GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE $L^P(R)$
Elhamma Mohamed
1
Hind Lahlai
2
Radouan Daher
3
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 $alpha>-frac{1}{2}$.
http://ijm2c.iauctb.ac.ir/article_521887_9c0c58c82f2cecd816de22aca8fa5aaa.pdf
Dunkl operator
Dunkl transform
generalized translation Dunkl operator
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2015-03-21
5
2 (SPRING)
133
139
521888
ON THE ALMOSTLY SURE CONVERGENCE OF THE SEQUENCE D_P,Q
Hamid Reza Moradi
1
Einolah Deiri
2
Iran, Islamic Republic of
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.
http://ijm2c.iauctb.ac.ir/article_521888_95d42ff96ad7a77ec8448cc407fc22d5.pdf
Borel-Cantelli
Fuzzy Random Variables
Negatively Quadrant Dependent
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2015-03-21
5
2 (SPRING)
141
147
521889
A MODIFIED METHOD TO DETERMINE A WELL-DISPERSED SUBSET OF NON-DOMINATED VECTORS OF AN MOMILP PROBLEM
Ghasem Tohidi
1
Shabnam Razavyan
2
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Iran Iran, Islamic Republic of
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
L1−norm
Multi-objective mixed integer linear programming (MOMILP) problem
well-dispersed non-dominated vectors
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2015-03-21
5
2 (SPRING)
149
171
521890
EXTENDED PREDICTOR-CORRECTOR METHODS FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY
Mahnaz Barkhordarii
1
N. Kiani
2
Nasser Mikaeilvand
3
Iran, Islamic Republic of
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
Fuzzy-number-valued function
Generalized dierentiability
Fuzzy dierential equation
Adams-Bashforth method
Adams-Moulton method
Predictor-Corrector method
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2015-03-21
5
2 (SPRING)
173
184
521891
ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS
Vijaya Laxmi Pikkala
1
Jyothsna Kanithi
2
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
Queue
Finite buffer
Markovian service process
balking
Waiting-time
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2015-03-21
5
2 (SPRING)
185
201
521892
DISPERSION OF CONTAMINANTS IN GROUNDWATER WITH CHEMICAL REACTION
Nirmala P. Ratchagar
1
S. Senthamilselvi
2
P. Meenapriya
3
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
Generalized-Dispersion model
Groundwater
Contaminants
Porous medium
Reaction rate parameter