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)
Pirabaharan, Pandy; David Chandrakumar, R.; and Hariharan, G.
"Reliable Wavelet based Approximation Method for Some Nonlinear Differential Equations,"
Applied Mathematics & Information Sciences: Vol. 10
, Article 32.
Available at: https://dc.naturalspublishing.com/amis/vol10/iss2/32