2015
5
2
2
0
TENSION QUARTIC TRIGONOMETRIC BÉZIER CURVES PRESERVING INTERPOLATION CURVES SHAPE
2
2
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.
1

99
109


Abdellah
Lamnii
Faculty of Science and Technology, University Hassan first, Settat, Morocco
Morocco
Faculty of Science and Technology, University
Iran


Fatima
Oumellal
Iran


Jaoud
Dabounou
Iran
Trigonometric B´ezier Curves
Tension Parameter
Shape Parameter
interpolation
BSPLINE METHOD FOR TWOPOINT BOUNDARY VALUE PROBLEMS
2
2
In this work the collocation method based on quartic Bspline is developed and
applied to twopoint 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.
1

111
125


Jalil
Rashidinia
Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics, Islamic Azad University
Iran


Shokofeh
Sharifi
Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics, Islamic Azad University
Iran
Twopoint boundary value problem
Quartic Bspline
Convergence analysis
error
GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE $L^P(R)$
2
2
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 $alpha>frac{1}{2}$.
1

127
131


Elhamma
Mohamed
Iran


Hind
Lahlai
Iran


Radouan
Daher
Iran
Dunkl operator
Dunkl transform
generalized translation Dunkl operator
ON THE ALMOSTLY SURE CONVERGENCE OF THE SEQUENCE D_P,Q
2
2
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.
1

133
139


Hamid Reza
Moradi
Iran, Islamic Republic of
Iran, Islamic Republic of
Iran


Einolah
Deiri
Faculty member Islamic University of Qaemshahr University
Iran, Islamic Republic of
Faculty member Islamic University of Qaemshahr
Iran
BorelCantelli
Fuzzy Random Variables
Negatively Quadrant Dependent
A MODIFIED METHOD TO DETERMINE A WELLDISPERSED SUBSET OF NONDOMINATED VECTORS OF AN MOMILP PROBLEM
2
2
This paper uses the L1−norm and the concept of the nondominated vector, topropose a method to find a welldispersed subset of nondominated (WDSND) vectorsof a multiobjective mixed integer linear programming (MOMILP) problem.The proposed method generalizes the proposed approach by Tohidi and Razavyan[Tohidi G., S. Razavyan (2014), determining a welldispersed subset of nondominatedvectors of multiobjective integer linear programming problem, International Journalof Industrial Mathematics, (Accepted for publication)] to find a WDSND vectors of anMOMILP problem.
1

141
147


Ghasem
Tohidi
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics, Islamic Azad University
Iran


Shabnam
Razavyan
Iran
L1−norm
Multiobjective mixed integer linear programming (MOMILP) problem
welldispersed nondominated vectors
EXTENDED PREDICTORCORRECTOR METHODS FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY
2
2
In this paper, the (m+1)step AdamsBashforth, AdamsMoulton, and PredictorCorrectormethods are used to solve rstorder 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.
1

149
171


Mahnaz
Barkhordarii
Iran, Islamic Republic of
Iran, Islamic Republic of
Iran


N.
Kiani
Iran


Nasser
Mikaeilvand
Iran
Fuzzynumbervalued function
Generalized dierentiability
Fuzzy dierential equation
AdamsBashforth method
AdamsMoulton method
PredictorCorrector method
ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS
2
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 steadystate system length distributions at prearrival and arbitrary epochs are obtained. Based on the system length distributions, some performance measures of the model and waitingtime analysis are presented. Finally, numerical results are displayed to show the effect of model parameters on the key performance measures.
1

173
184


Vijaya Laxmi
Pikkala
Iran


Jyothsna
Kanithi
Iran
Queue
Finite buffer
Markovian service process
balking
Waitingtime
DISPERSION OF CONTAMINANTS IN GROUNDWATER WITH CHEMICAL REACTION
2
2
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 advectiondispersion 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.
1

185
201


Nirmala P.
Ratchagar
Iran


S.
Senthamilselvi
Iran


P.
Meenapriya
Iran
GeneralizedDispersion model
Groundwater
Contaminants
Porous medium
Reaction rate parameter