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

Authors:
Amjad Alipanah;Shahrokh Esmaeili
Affiliations:
Department of Applied Mathematics, University of Kurdistan, 66159-87875, Sanandaj, Iran;Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No 424, Hafez Ave., 15914 Tehran, Iran
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

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Abstract

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.