Asymptotic Solutions of Fourth Order Near Critically Damped Nonlinear Systems

Authors

  • Md. Habibur Rahman Department of Mathematics, Khulna University of Engineering & Technology (KUET), Khulna-9203, Bangladesh
  • B.M. Ikramul Haque Department of Mathematics, Khulna University of Engineering & Technology (KUET), Khulna-9203, Bangladesh
  • M. Ali Akbar Department of Applied Mathematics, Rajshahi University, Rajshahi-6205, Bangladesh

DOI:

https://doi.org/10.26713/jims.v1i1.10

Keywords:

Perturbation technique, Asymptotic solutions, near critically damped systems

Abstract

A perturbation technique is developed in this article to solve asymptotic solutions of fourth order near critically damped nonlinear systems based on the Krylov-Bogoliubov-Mitroplskii method. The method is illustrated by an example. The results obtained by the presented technique show excellent coincidence with those obtained by numerical method.

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CITATION

How to Cite

Rahman, M. H., Haque, B. I., & Akbar, M. A. (2009). Asymptotic Solutions of Fourth Order Near Critically Damped Nonlinear Systems. Journal of Informatics and Mathematical Sciences, 1(1), 61–73. https://doi.org/10.26713/jims.v1i1.10

Issue

Vol. 1 No. 1 (2009)

Section

Research Articles

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