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Numerical solution of symmetric integral equations with kernels non-smooth on the diagonal

 

作者: E. Rakotch,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1987）
卷期: Volume 9, issue 7-8  

页码: 845-858

 

ISSN:0163-0563

 

年代: 1987

 

DOI:10.1080/01630568708816263

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

A standard method for solution of a syrmnetric integral equation in an intervalwith a kernel K(x,t) ε C(IxI) is to solve the eigenproblemwith wjn>0 and xjnεI, j=l,...,n. For kernels with discontinuous derivatives on the diagonal x=t we use a variant of Gregory's quadrature fonnula to improve the error estimate of (1) from 0 (n-2) at most to 0(n-4).

 

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