A numerical method for the solution of integral equations of Mellin type

被引：7

作者：

Laurita, Concetta ^{[1
,2
]}

机构：

[1] Univ Basilicata, Dept Math Comp Sci & Econ, Via Ateneo Lucano 10, I-85100 Potenza, Italy

[2] GNCS INdAM, Ferrara, Italy

来源：

APPLIED NUMERICAL MATHEMATICS | 2017年 / 116卷

关键词：

Gaussian rule; Mellin kernel; Integral equations of Mellin type; Nystrom method; CRUCIFORM CRACK PROBLEM; COLLOCATION;

D O I：

10.1016/j.apnum.2017.01.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are interested in the numerical solution of second kind integral equations of Mellin convolution type. We describe a modified Nystrom method based on the Gauss-Lobatto or Gauss-Radau quadrature rule. Under certain assumptions on the Mellin kernel, we prove the stability and the convergence of the proposed procedure and also derive error estimates. Finally, some test problems are solved and the numerical results showing the effectiveness of our method are presented. (C) 2017 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：215 / 229

页数：15

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