A numerical method for Fredholm integral equations of the second kind by the IMT-type DE rules

被引：0

作者：

Ogata, Hidenori ^{[1
]}

机构：

[1] Univ Electrocommun, Dept Comp & Network Engn, Grad Sch Informat & Engn, 1-5-1 Chofu Ga Oka, Chofu, Tokyo 1828686, Japan

来源：

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2021年 / 38卷 / 03期

关键词：

Integral equation; Fredholm integral equation of the second kind; IMT-type DE formula; DE formula; Nystrom method;

D O I：

10.1007/s13160-021-00457-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a numerical method for one-dimensional Fredholm integral equations of the second kind by the IMT-type DE rules for numerical integration. We obtain our method by enhancing the DE-Nystrom method by replacing the DE rule used for discretizing the integral operator with the IMT-type DE rules. It is free of the difficulty of parameter tuning, that is, the problem of choosing the mesh size of the DE rule for the given number of unknowns as in the DE-Nystrom method. Numerical examples show that it is competitive with the DE-Nystrom method.

引用

页码：715 / 729

页数：15

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