Reliable Wavelet based Approximation Method for Some Nonlinear Differential Equations

Authors

Pandy Pirabaharan, Department of Mathematics, Anna University, University College of Engineering-Dindigul-624 622,Tamilnadu, IndiaFollow
R. David Chandrakumar, Department of Mathematics, Vikram College of Engineering, Enathi, Sivaganga District, Tamilnadu, IndiaFollow
G. Hariharan, Department of Mathematics, School of Humanities and Sciences, SASTRA University, Tamilnadu-613 401, IndiaFollow

Author Country (or Countries)

India

Abstract

In this paper, we have developed a Chebyshev wavelet based approximation method to solve some nonlinear differential equations (NLDEs) arrising in science and engineering. To the best of our knowledge, until now there is no rigorous shifted second kind Chebyshev wavelet (S2KCWM) solution has been addressed for the nonlinear differential equations. With the help of shifted second kind Chebyshev wavelets operational matrices, the linear and nonlinear differential equations are converted into a system of algebraic equations. The convergence of the proposed method is established. Finally, we have given some numerical examples to demonstrate the validity and applicability of the proposed wavelet method.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100232

Recommended Citation

Pirabaharan, Pandy; David Chandrakumar, R.; and Hariharan, G. (2016) "Reliable Wavelet based Approximation Method for Some Nonlinear Differential Equations," Applied Mathematics & Information Sciences: Vol. 10: Iss. 2, Article 32.
DOI: http://dx.doi.org/10.18576/amis/100232
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss2/32