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Solving two-dimensional Volterra-Fredholm integral equations of the second kind by using Bernstein polynomials

Solving two-dimensional Volterra-Fredholm integral equations of the second kind by using Bernstein polynomials

作     者:M.Sh.Dahaghin Sh.Eskandari 

作者机构:Department of Mathematics Shahrekord University Shahrekord Iran 

出 版 物:《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报(英文版)(B辑))

年 卷 期:2017年第32卷第1期

页      面:68-78页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:Supported by the Center of Excellence for Mathematics Shahrekord University Iran 

主  题:Volterra approximating approximate variational proof iterative uniformly exact wavelet inequality 

摘      要:In this paper, we present a numerical method for solving two-dimensional VolterraFredholm integral equations of the second kind(2DV-FK2). Our method is based on approximating unknown function with Bernstein polynomials. We obtain an error bound for this method and employ the method on some numerical tests to show the efficiency of the method.

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