Hybrid Functions Method Based on Radial Basis Functions for Solving Nonlinear Fredholm Integral Equations

Authors

  • Homa Almasieh
  • Jinoos Nazari Meleh

DOI:

https://doi.org/10.30495/jme.v7i0.214

Keywords:

Nonlinear Fredholm integral equations, collocation method, hybrid of radial basis functions, legendre polynomials

Abstract

A numerical technique based on hybrid of radial basisfunctions including Guassians (GAs) and Multiquadrics (MQs) is proposedto obtain the solution of nonlinear Fredholm integral equations.Zeros of the shifted Legendre polynomials are used as the collocationpoints. The integral involved in the formulation of the problems are approximatedbased on Legendre-Gauss-Lobatto integration rule. Somenumerical examples illustrate the accuracy and validity of the proposedmethod.

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Published

2014-02-09

Issue

Vol. 7

Section

Vol. 7, No. 3, (2013)

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