IJPAM: Volume 83, No. 3 (2013)

A COLLOCATION METHOD WITH RBF
FOR PDE ON INFINITE DOMAIN

M. Moini
Department of Mathematics
Roudehen Branch
Islamic Azad University
Roudehen, IRAN


Abstract. This paper is concerned with the numerical solution of PDEs problem on an infinite domain. An artificial boundary is introduced to make the computational domain finite. On the artificial boundary an exact boundary condition is applied to reduce the original problem to an initial boundary value problem. The collocation method with a radial basis functions is used that approximates the solution of converted problem. Two numerical examples are performed to show the accuracy of the scheme.

Received: February 6, 2012

AMS Subject Classification: 35F16

Key Words and Phrases: infinite domain, artificial boundary condition, collocation method, radial basis function

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DOI: 10.12732/ijpam.v83i3.1 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 83
Issue: 3