典型文献
Application of Bernstein polynomials for solving Fredholm integro-differential-difference equations
文献摘要：
In this paper,the Bernstein polynomials method is proposed for the numerical solution of Fredholm integro-differential-difference equation with variable coefficients and mixed conditions.This method is using a simple computational manner to obtain a quite acceptable approximate solution.The main characteristic behind this method lies in the fact that,on the one hand,the problem will be reduced to a system of algebraic equations.On the other hand,the efficiency and accuracy of the Bernstein polynomials method for solving these equations are high.The existence and uniqueness of the solution have been proved.Moreover,an estimation of the error bound for this method will be shown by preparing some theorems.Finally,some numerical experiments are presented to show the excellent behavior and high accuracy of this algorithm in comparison with some other well-known methods.
文献关键词：
中图分类号：
作者姓名：
Esmail Hesameddini;Mehdi Shahbazi
作者机构：
Department of Mathematics Sciences,Shiraz University of Technology,P.O.Box 71555-313,Shiraz,Iran
文献出处：
引用格式：
[1]Esmail Hesameddini;Mehdi Shahbazi-.Application of Bernstein polynomials for solving Fredholm integro-differential-difference equations)[J].高校应用数学学报B辑（英文版）,2022(04):475-493
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AB值：
0.572324
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