求解第一类Fredholm积分方程的小波矩法

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2007-03-15 DOI:10.1016/j.amc.2006.07.165

E. Babolian , T. Lotfi , M. Paripour

引用次数: 25

摘要

本文提出了一种求解第一类Fredholm积分方程的有效方法，即在矩量法中使用小波作为基函数，降低线性方程的阶数，而不是使矩阵稀疏。最后，给出了数值算例。

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 moment method for solving Fredholm integral equations of the first kind

In this paper, we suggest an efficient method for solving Fredholm integral equations of the first kind, using wavelets as basis functions in the moment method and reducing the order of the linear equation, rather than making the matrix sparse. In the end, we give some numerical examples.

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.