A modified Nystrom method for integral equations with Mellin type kernels

被引：8

作者：

De Bonis, M. C. ^{[1
]}

Laurita, C. ^{[1
]}

机构：

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

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2016年 / 296卷

关键词：

Mellin kernel; Integral equations of Mellin type; Nystrom method; Lagrange interpolation; Gaussian rule; CRUCIFORM CRACK PROBLEM; OPERATOR-EQUATIONS; COLLOCATION;

D O I：

10.1016/j.cam.2015.10.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to propose a new modified Nystrom method for the approximation of the solutions of second kind integral equations with fixed singularities of Mellin convolution type. The stability and the convergence are proved in L-2 spaces and error estimates in L-2 norm are given. Finally, numerical tests showing the effectiveness of the method are presented. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：512 / 527

页数：16

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