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January 1, 2016Communications in Numerical AnalysisOpen Access

Note on Using Radial Basis Functions Method for Solving Nonlinear Integral Equations

Ahmad Golbabai O. Nikan Jaber Ramezani Tousi

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Abstract

In this note, the solution of nonlinear integral equations was discussed using radial basis functions (RBFs) method. This method will represent the solution of nonlinear integral equation by interpolating the RBFs based on Legendre-Gauss-Lobatto (LGL) nodes and weights. Zeros of the shifted Legendre polynomials are used as the collocation points. The method is used to some examples to illustrate the accuracy and the implementation of the method.

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Golbabai et al. (2016) studied this question.

synapsesocial.com/papers/6a6d4a8eac440176ef270b78 https://doi.org/10.5899/2016/cna-00257

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