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.

Views: 362Downloads: 249

Downloads

Download data is not yet available.

Downloads

Issue

Vol. 1 No. 1 (2009)

Section

Research Article

License

Authors who publish with this journal agree to the following terms:
  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.

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