Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind

IF 2.5 3区数学 Q1 MATHEMATICS, APPLIED

Computational & Applied Mathematics Pub Date : 2012-01-01 DOI:10.1590/S1807-03022012000100007

Z. Avazzadeh, M. Heydari

引用次数: 49

Abstract

In this paper, an efficient method is presented for solving two dimensional Fredholm and Volterra integral equations of the second kind. Chebyshev polynomials are applied to approximate a solution for these integral equations. This method transforms the integral equation to algebraic equations with unknown Chebyshev coefficients. The high accuracy of this method is verified through some numerical examples. Mathematical subject classification: 65R20, 41A50, 41A55, 65M70.

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求解二维第二类线性和非线性积分方程的切比雪夫多项式

本文给出了求解二维第二类Fredholm和Volterra积分方程的一种有效方法。应用切比雪夫多项式近似求解这些积分方程。该方法将积分方程转化为具有未知切比雪夫系数的代数方程。通过数值算例验证了该方法的高精度。数学学科分类:65R20、41A50、41A55、65M70。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computational & Applied Mathematics Mathematics-Computational Mathematics

CiteScore

4.50

自引率

11.50%

发文量

352

审稿时长

>12 weeks

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.