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

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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. © 2009 Elsevier B.V. All rights reserved.

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Alipanah, A., & Esmaeili, S. (2011). Numerical solution of the two-dimensional Fredholm integral equations using Gaussian radial basis function. Journal of Computational and Applied Mathematics, 235(18), 5342–5347. https://doi.org/10.1016/j.cam.2009.11.053

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