IJPAM: Volume 86, No. 1 (2013)

NUMERICAL APPROXIMATION OF
HEAT EQUATION USING HAAR WAVELETS

Sharanjeet Dhawan1, Sangeeta Arora2, Sheo Kumar3
1,3Department Of Mathematics
Dr. B.R. Ambedkar National Institute of Technology
Jalandhar, INDIA
2Department of Computer Science and IT
HMV College Jalandhar, INDIA


Abstract. This paper starts with a basic introduction to Haar wavelets which have been used for numerical simulation of heat equation. Wavelet collocation scheme is applied for the problems. Numerical experiments are carried out for some test problems. High accuracy of the results even in the case of a small number of collocation points is observed.

Received: March 1, 2013

AMS Subject Classification:

Key Words and Phrases: Haar wavelets, numerical simulation

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DOI: 10.12732/ijpam.v86i1.6 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: 86
Issue: 1