فهرست مطالب
مجله بین المللی محاسبات و مدل سازی ریاضی
سال ششم شماره 4 (Autumn 2016)
- تاریخ انتشار: 1395/11/19
- تعداد عناوین: 6
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Pages 261-267Using a generalized spherical mean operator, we obtain a generalization of Titchmarsh's theorem for the Dunkl transform for functions satisfying the ('; p)-Dunkl Lipschitz condition in the space Lp(Rd;wl(x)dx), 1Keywords: Dunkl transform, generalized spherical mean operator, Dunkl kernel
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Pages 269-275Some estimates are proved for the generalized Fourier-Bessel transform in the space (L 2) (alpha,n)-index certain classes of functions characterized by the generalized continuity modulus.Keywords: singular di erential operator, generalized Fourier, Bessel transform, generalized translation operator
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Pages 277-284In this paper we investigate common xed point theorems for contraction mapping in fuzzy metric space introduced by Gregori and Sapena [V. Gregori, A. Sapena, On xed-point the- orems in fuzzy metric spaces, Fuzzy Sets and Systems, 125 (2002), 245-252].Keywords: Fuzzy metric spaces, Generalized contraction mapping, Common xed point
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Pages 285-290The aim of this paper is to prove new quantitative uncertainty principle for the generalized Fourier transform connected with a Dunkl type operator on the real line. More precisely we prove An Lp-Lq-version of Morgan's theorem.Keywords: Morgan's theorem, generalized Fourier transform, Generalized Dunkl operator, Heisenberg inequality, Dunkl transform
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Pages 291-299In this article, we propose and analyze a computational method for numerical solution of general two point boundary value problems. Method is tested on problems to ensure the computational eciency. We have compared numerical results with results obtained by other method in literature. We conclude that propose method is computationally ecient and e ective.Keywords: Convergence, Fourth order method, Helmholtz equation, Maximum absolute error, Nonlinear problems, General problems
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Pages 301-312In this letter, the numerical scheme of nonlinear Volterra-Fredholm integro-differential equations is proposed in a reproducing kernel Hilbert space (RKHS). The method is constructed based on the reproducing kernel properties in which the initial condition of the problem is satis ed. The nonlinear terms are replaced by its Taylor series. In this technique, the nonlinear Volterra-Fredholm integro-differential equations are converted to nonlinear differential equations. The exact solution is represented in the form of series in the reproducing Hilbert kernel space. The approximation solution is expressed by n-term summation of reproducing kernel functions and it is converge to the exact solution. Some numerical examples are given to show the accuracy of the method.Keywords: Reproducing kernel method, Volterra, Fredholm, integro, differential equations, Approximation solution