Title

SECOND KIND CHEBYSHEV WAVELET METHOD
FOR SOLVING SYSTEM OF LINEAR
DIFFERENTIAL EQUATIONS

Authors

Pammy Manchanda, Mamta Rani
Department of Mathematics
Guru Nanak Dev University
Amritsar, 143005, INDIA

Abstract

Wavelet methods have been used extensively for the solution of various problems of science and engineering. In this paper, we attempt to solve system of linear differential equations by second kind Chebyshev wavelet method. The key idea of this approach is that it reduces the underlying problem to a system of algebraic equations. Illustrative examples are included to demonstrate the efficiency and accuracy of the proposed method. The numerical solutions of system of differential equations occurring in drug therapy of irregular heartbeats and pond pollution are obtained by using this method.

History

Received: December 20, 2016
Revised: February 2, 2017
Published: April 21, 2017

AMS Classification, Key Words

AMS Subject Classification: 42C40, 42A38, 65M99
Key Words and Phrases: second kind Chebyshev wavelets, operational matrix
of integration, system of linear differential equations

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How to Cite?

DOI: 10.12732/ijpam.v114i1.8 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: 2017
Volume: 114
Issue: 1
Pages: 91 - 104

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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