求解奇异积分方程的小波伽辽金方法

IF 2.5 3区数学 Q1 MATHEMATICS, APPLIED

Computational & Applied Mathematics Pub Date : 2012-08-28 DOI:10.1590/S1807-03022012000200009

K. Maleknejad, M. Nosrati, E. Najafi

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引用次数: 13

摘要

提出了一种利用线性b样条小波求解弱奇异Fredholm积分方程的有效方法。首先给出了这些小波和一些运算矩阵的性质。然后利用这些性质将积分方程的计算简化为一些代数方程。该方法在计算上具有吸引力，并通过举例说明了其应用。数学学科分类:45A05、32A55、34A25、65T60。

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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Wavelet Galerkin method for solving singular integral equations

An effective technique upon linear B-spline wavelets has been developed for solving weakly singular Fredholm integral equations. Properties of these wavelets and some operational matrices are first presented. These properties are then used to reduce the computation of integral equations to some algebraic equations. The method is computationally attractive, and applications are demonstrated through illustrative examples. Mathematical subject classification: 45A05, 32A55, 34A25, 65T60.

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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.