Chelyshkov Collocation Method for Solving the Two-Dimensional Fredholm–Volterra Integral Equations

被引：0

作者：

Ardabili J.S. ^{[1
]}

Talaei Y. ^{[2
]}

机构：

[1] Department of Mathematics, Payame Noor University, Tehran

[2] Young Researchers and Elite Club, Ardabil Branch, Islamic Azad University, Ardabil

来源：

International Journal of Applied and Computational Mathematics | 2018年 / 4卷 / 1期

关键词：

Chelyshkov collocation method; Two-dimensional Chelyshkov polynomials; Two-dimensional Fredholm–Volterra integral equations;

D O I：

10.1007/s40819-017-0433-2

中图分类号：

学科分类号：

摘要：

In this paper, we employ collocation method using a new orthogonal polynomial (Chelyshkov polynomials) to find the numerical solution of two-dimensional Fredholm–Volterra integral equations. Here, we consider two-dimensional Chelyshkov polynomials and their operational matrix. This method transforms the integral equation to a system of linear algebraic equations by means of collocation points. This method is applied for two examples to illustrate the accuracy of the method. © 2017, Springer (India) Private Ltd., part of Springer Nature.

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