IJPAM: Volume 101, No. 4 (2015)
NUMERICAL METHODS FOR PARTIAL
Yadwinder Singh Brar, Sheo Kumar
Department of Computer Science
Punjab Technical University Jalandhar
144001, Punjab, INDIA
Department of Mathematics
Dr. B.R. Ambedkar National Institute of Technology
Jalandhar, Punjab-144011, INDIA
Department of Electrical Engineering
Guru Nanak Dev Engineering College
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
Pages: 489 - 503