Title: Modified Taylor wavelets approach to the numerical results of second order differential equations

Authors: Ankit Kumar; Sag Ram Verma

Addresses: Department of Mathematics and Statistics, Faculty of Science, Gurukula Kangri (Deemed to be University), Haridwar-249 404, India ' Department of Mathematics and Statistics, Faculty of Science, Gurukula Kangri (Deemed to be University), Haridwar-249 404, India

Abstract: In this paper, we present a new method, which is based on the derivative operational matrix of modified Taylor wavelets (DOMMTWs) with collocation points for approximate solutions of a class of differential equations of second order. The idea behind using the derivative operational matrix of modified Taylor wavelet method (DOMMTWM) is to convert the problem into the equivalent set of algebraic equations. The obtained results of the problems under the study guarantee that the introduced method provides the best approximate solution to a class of second-order differential equations.

Keywords: wavelet; Taylor wavelets; modified Taylor wavelets; collocation points; second order differential equations; derivative operational matrix.

DOI: 10.1504/IJANS.2021.120124

International Journal of Applied Nonlinear Science, 2021 Vol.3 No.2, pp.136 - 155

Received: 20 Feb 2021
Accepted: 13 Jun 2021
Published online: 07 Jan 2022 *

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