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 preser More
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.
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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 example More
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.
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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 $\mathrm{L}_{p,\alpha}=\mathrm{L}^ More
In this paper‎, ‎using a generalized Dunkl translation operator‎, ‎we obtain a generalization of Titchmarsh's Theorem for the Dunkl transform for functions satisfying the$(\psi,p)$-Lipschitz Dunkl condition in the space $\mathrm{L}_{p,\alpha}=\mathrm{L}^{p}(\mathbb{R},|x|^{2\alpha+1}dx)$‎, ‎where $\alpha>-\frac{1}{2}$.
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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 pairwis More
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.
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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 p More
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.
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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 al More
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.
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This paper presents the analysis of a renewal input finite buffer queue wherein the customers can decide either tojoin the queue with a probability or balk. The service process is Markovian service process ($MSP$) governed by anunderlying $m$-state Markov chain. Employi More
This paper presents the analysis of a renewal input finite buffer queue wherein the customers can decide either tojoin the queue with a probability or balk. The service process is Markovian service process ($MSP$) governed by anunderlying $m$-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 thesystem 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.
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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 ef More
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.
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