Numerical solution of the two-dimensional Fredholm integral equations using Gaussian radial basis function期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Amjad Alipanah Shahrokh Esmaeili

Affiliation:	^a Department of Applied Mathematics, University of Kurdistan, 66159-87875, Sanandaj, Iran ^b Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No 424, Hafez Ave., 15914 Tehran, Iran

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.

Keywords:	Radial basis function Gaussian Two-dimensional integral equations Fredholm integral equations
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