Asymptotic Solutions for the Fifth Order Critically Damped Nonlinear Systems in the Case for Small Equal Eigenvalues - American Journal of Computational Mathematics

AJCM > Vol.5 No.4, December 2015

American Journal of Computational Mathematics

Volume 5, Issue 4 (December 2015)

ISSN Print: 2161-1203 ISSN Online: 2161-1211

Google-based Impact Factor: 1.05 Citations

Asymptotic Solutions for the Fifth Order Critically Damped Nonlinear Systems in the Case for Small Equal Eigenvalues ()

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DOI: 10.4236/ajcm.2015.54036 3,422 Downloads 4,391 Views Citations

Author(s)

Md. Firoj Alam¹, M. Abul Kawser¹, Md. Mahafujur Rahaman²

Affiliation(s)

¹Department of Mathematics, Islamic University, Kushtia, Bangladesh.
²Department of Computer Science & Engineering, Z. H. Sikder University of Science & Technology, Shariatpur, Bangladesh.

ABSTRACT

This article examines a fifth order critically damped nonlinearsystem in the case of small equal eigenvalues and tries to find out an asymptotic solution. This paper suggests that the solutions obtained by the perturbation techniques based on modified Krylov-Bogoliubov-Mitropoloskii (KBM) method is consistent with the numerical solutions obtained by the fourth order Runge-Kutta method.

KEYWORDS

KBM, Eigenvalues, Critically Damped System, Nonlinearity, Asymptotic Solution, Runge-Kutta Method

Share and Cite:

Alam, M. , Kawser, M. and Rahaman, M. (2015) Asymptotic Solutions for the Fifth Order Critically Damped Nonlinear Systems in the Case for Small Equal Eigenvalues. American Journal of Computational Mathematics, 5, 414-425. doi: 10.4236/ajcm.2015.54036.

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