Perturbation Solutions to Fifth Order Over-damped Nonlinear Systems

Harun-Or- Roshid; M. Zulfikar Ali; Pinakee Dey; M. Ali Akbar

doi:10.9734/jamcs/2019/v32i430151

Research Article Open access CC BY 4.0

Perturbation Solutions to Fifth Order Over-damped Nonlinear Systems

Harun-Or- Roshid, M. Zulfikar Ali, Pinakee Dey, M. Ali Akbar

Journal of Advances in Mathematics and Computer Science · pp. 1–11 · Published 1 Jun 2019

10.9734/jamcs/2019/v32i430151

Abstract

Fifth order over-damp nonlinear differential systems can be used to describe many engineering problems and physical phenomena occur in the nature. In this article, the Krylov-Bogoliubov-Mitropolskii (KBM) method has been extended to investigate the solution of a certain fifth order over-damp nonlinear systems and desired result has been found. The implementation of the presented method is illustrated by an example. The first order analytical approximate solutions obtained by the method for different initial conditions show a good agreement with those obtains by numerical method.

Non-linearity over-damp perturbation eigenvalues Runge-Kutta method.

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Harun-Or- Roshid, M. Zulfikar Ali, Pinakee Dey, M. Ali Akbar (2019). Perturbation Solutions to Fifth Order Over-damped Nonlinear Systems. Journal of Advances in Mathematics and Computer Science , 1–11. https://doi.org/10.9734/jamcs/2019/v32i430151

Affiliations

Harun-Or- Roshid — Department of Mathematics, Pabna University of Science and Technology, Bangladesh and Department of Mathematics, University of Rajshai, Bangladesh.
M. Zulfikar Ali — Department of Mathematics, University of Rajshai, Bangladesh.
Pinakee Dey — Department of Mathematics, Mawlana Bhashani Science and Technology University, Santosh, Tangail-1902, Bangladesh.
M. Ali Akbar — Department of Applied Mathematics, University of Rajshai, Bangladesh.

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Perturbation Solutions to Fifth Order Over-damped Nonlinear Systems

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