IJPAM: Volume 104, No. 4 (2015)

EFFICIENCY AND ACCURACY OF NUMERICAL SOLUTION
OF LAGUERRE'S DIFFERENTIAL EQUATION USING
HAAR WAVELET

Inderdeep Singh$^1$, Sangeeta Arora$^2$, Sheo Kumar$^3$
$^{1,3}$Department of Mathematics
Dr. B.R. Ambedkar National Institute of Technology
Jalandhar, Punjab, 144011, INDIA
$^2$PG Department of Computer Science and IT
HMV College
Jalandhar, 144008, INDIA


Abstract. From past literature, it is well known that Haar wavelet is a powerful mathematical tool for solving various type of differential equations and the solution obtained by Haar wavelet are more accurate than that obtained by other methods. Our aim in the present paper is to illustrate the slow computational convergence of Laguerre's differential equation using Haar wavelet, noting that Laguerre's differential equation has polynomial solutions.

Received: April 10, 201

AMS Subject Classification: 65L05, 34A45

Key Words and Phrases: Laguerre's differential equation, Haar wavelet method, operational matrix

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DOI: 10.12732/ijpam.v104i4.1 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: 2015
Volume: 104
Issue: 4
Pages: 495 - 508


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