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Reliable Wavelet based Approximation Method for Some Nonlinear Differential Equations |
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PP: 719-727 |
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doi:10.18576/amis/100232
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Author(s) |
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Pandy Pirabaharan,
R. David Chandrakumar,
G. Hariharan,
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Abstract |
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| 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. |
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