Publication detail

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

Authors: Rak Josef

Year: 2018

Type of publication: článek ve sborníku

Name of source: AIP Conference Proceedings, vol. 1978

Publisher name: American Institute of Physics

Place: Melville

Page from-to: 1 - 4

Titles:

Language	Name	Abstract	Keywords
cze	Odhad chyby Nystromovy metody aplikované na integrální rovnici druhého druhu se singulárním jádrem	Článek se zabývá numerickým řešením integrální rovnice druhého druhu se singulárním jádrem. Hlavní výsledek je odhad chyby Nystromovy metody se zhlazením singularity.
eng	Error Behavior of the Nystrom Method With Singularity Subtraction Applied To a Singular Fredholm Integral Equation of the Second Kind	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 Nystrom method with singularity subtraction. The error estimate is compared to numerical examples. The error behavior and computing time of the Nytrom method is compared with alternative method.	Multidimensional Integral Equation; Singular Kernel

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