A new technique for solving a class of strongly nonlinear oscillatory equations

M. Shamsul Alam, M. Ashraful Huq, M. Kamrul Hasan and M. Saifur Rahman

Chaos, Solitons & Fractals, 2021, vol. 152, issue C

Abstract: A new technique has been presented for solving strong nonlinear oscillatory problems. The solution is independent of trigonometric functions, and the determination of unknown coefficients related to the proposed solution is very simple. The method is illustrated by examples. For a large amplitude of oscillation of some nonlinear oscillators, the solution nicely agrees with the corresponding numerical solution.

Keywords: Differential transform method; Duffing oscillator; Relativistic oscillator (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921007165

DOI: 10.1016/j.chaos.2021.111362

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