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

Homa Almasieh, Jinoos Nazari Meleh


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.


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

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