Numerical solution of the two-dimensional Fredholm integral equations using Gaussian radial basis function

In this paper, we introduce a numerical method for the solution of two-dimensional Fredholm integral equations. The method is based on interpolation by Gaussian radial basis function based on Legendre–Gauss–Lobatto nodes and weights. Numerical examples are presented and results are compared with the...

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Veröffentlicht in:	Journal of computational and applied mathematics 2011-07, Vol.235 (18), p.5342-5347
Hauptverfasser:	Alipanah, Amjad, Esmaeili, Shahrokh
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximations and expansions Exact sciences and technology Fredholm integral equations Gaussian Integral equations Interpolation Mathematical analysis Mathematical models Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical approximation Numerical methods in probability and statistics Radial basis function Sciences and techniques of general use Two dimensional Two-dimensional integral equations
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Zusammenfassung:	In this paper, we introduce a numerical method for the solution of two-dimensional Fredholm integral equations. The method is based on interpolation by Gaussian radial basis function based on Legendre–Gauss–Lobatto nodes and weights. Numerical examples are presented and results are compared with the analytical solution to demonstrate the validity and applicability of the method.
ISSN:	0377-0427 1879-1778
DOI:	10.1016/j.cam.2009.11.053