Using Radial Basis Functions for Numerical Solving Two-Dimensional Voltrra Linear Functional Integral Equations

Document Type: Full Length Article

Authors

1 Young Researcher Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran

2 Department of Mathematics, Faculty of Science, Hamedan Branch, Islamic Azad University, Hamedan, Iran

3 Department of Computer, Islamic Azad University, Najafabad, Esfahan, Iran

Abstract

This article is an attempt to obtain the numerical solution of functional linear Voltrra two-
dimensional integral equations using Radial Basis Function (RBF) interpolation which is
based on linear composition of terms. By using RBF in functional integral equation, rst a
linear system 􀀀C = G will be achieved; then the coecients vector is de ned, and nally the
target function will be approximated. In the end, the validity of the method is shown by a
number of examples.

Keywords