IJPAM: Volume 101, No. 4 (2015)

COMPARATIVE STUDY OF HAAR WAVELET WITH
NUMERICAL METHODS FOR PARTIAL
DIFFERENTIAL EQUATIONS

Sangeeta Arora$^1$, Inderdeep Singh$^2$,
Yadwinder Singh Brar$^3$, Sheo Kumar$^4$
$^1$Department of Computer Science
Punjab Technical University Jalandhar
144001, Punjab, INDIA
$^{2,4}$Department of Mathematics
Dr. B.R. Ambedkar National Institute of Technology
Jalandhar, Punjab-144011, INDIA
$^3$Department of Electrical Engineering
Guru Nanak Dev Engineering College
Ludhiana, INDIA


Abstract. A comparative study of Haar wavelet method with well known numerical methods (Schmidt method, Crank-Nicolson method and Du-Fort Frankel method )for numerical solutions of partial differential equations have been carried out. Numerical examples show that finite difference methods such as Schmidt method, Crank-Nicolson method and Du-Fort Frankel method are equivalent to Haar wavelet method.

Received: October 14, 2014

AMS Subject Classification: 65M99

Key Words and Phrases: Haar wavelet method, Schmidt method, Crank-Nicolson method, Du-Fort Frankel method, operational matrices, function approximation

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DOI: 10.12732/ijpam.v101i4.4 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: 2015
Volume: 101
Issue: 4
Pages: 489 - 503


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