Multivariable and scattered data interpolation for solving multivariable integral equations

F. Fattahzadeh
Department of Mathematics, Islamic Azad University(Central Tehran Branch),
Tehran, Iran.
E. Golpar Raboky
University of Qom, Tehran, Iran.

\(^{1}\)Corresponding Author: ff attahzadeh@iauctb.ac.ir

Copyright © 2012 F. Fattahzadeh, E. Golpar Raboky. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Published: December, 2012.

Abstract

In this paper we use radial basis functions in one of the projection methods to solve integral equations of the second kind with two or more variables. This method implemented without needing any introductory algorithms. Relatively good error bound and the numerical experiments show the accuracy of the method.

Keywords:

Collocation method, multivariable integral equation, radial basis functions, scattered data interpolation.