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Solution of two-dimensional Fredholm integral equation via RBF-triangular method

DOI: 10.5899/2012/jiasc-00002

Keywords: Fredholm integral equation , Two-dimensional integral equation , Radial basis functions (RBFs) , Triangular nodes>

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Abstract:

In this paper, a new method is introduced to solve a two-dimensional Fredholm integral equation. The method is based on the approximation by Gaussian radial basis functions and triangular nodes and weights. Also, a new quadrature is introduced to approximate the two dimensional integrals which is called the triangular method. The results of the example illustrate the accuracy of the proposed method increases.

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