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Error Behavior of the Nyström Method With Singularity Subtraction Applied To a Singular Fredholm Integral Equation of the Second Kind.

Authors :
Rak, Josef
Source :
AIP Conference Proceedings; 2018, Vol. 1978 Issue 1, p1-4, 4p
Publication Year :
2018

Abstract

This paper describes one method for a numerical solution of a Fredholm integral equation of the second kind. The kernel function has a special type of singularity called the diagonal one. The main result of this paper is the error estimation of the numerical solution based on the Nystr¨om method with singularity subtraction. The error estimate is compared to numerical examples. The error behavior and computing time of the Nytr¨om method is compared with alternative method. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0094243X
Volume :
1978
Issue :
1
Database :
Complementary Index
Journal :
AIP Conference Proceedings
Publication Type :
Conference
Accession number :
130726128
Full Text :
https://doi.org/10.1063/1.5044088