Numerical solution of a class of mixed two-dimensional nonlinear Volterra-Fredholm integral equations using multiquadric radial basis functions

Authors:
H. Almasieh;J. Nazari Meleh
Affiliations:
-;-
Venue:
Journal of Computational and Applied Mathematics
Year:
2014

Citing 3
Cited 0

On the numerical solution of nonlinear Volterra-Fredholm integral equations by collocation methods

SIAM Journal on Numerical Analysis
He's variational iteration method for solving nonlinear mixed Volterra-Fredholm integral equations

Computers & Mathematics with Applications
Numerical solution of the two-dimensional Fredholm integral equations using Gaussian radial basis function

Journal of Computational and Applied Mathematics

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Abstract

An efficient numerical method is proposed for solving the mixed nonlinear Volterra-Fredholm two-dimensional integral equations (IEs), using two-dimensional radial basis functions (RBFs). This method is based on interpolation by radial basis functions including multiquadrics (MQs), using Legendre-Gauss-Lobatto nodes and weights. Also a theorem is proved for convergence analysis. Some numerical examples are presented and results are compared with the analytical solution to demonstrate the validity and applicability of the proposed method.