IJPAM: Volume 83, No. 3 (2013)
FOR PDE ON INFINITE DOMAIN
Department of Mathematics
Islamic Azad University
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