IJPAM: Volume 83, No. 3 (2013)
FOR PDE ON INFINITE DOMAIN
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