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Asymptotic Solutions for the Fifth Order Critically Damped Nonlinear Systems in the Case for Small Equal Eigenvalues
Department of Mathematics, Islamic University, Kushtia, Bangladesh
Department of Mathematics, Islamic University, Kushtia, Bangladesh
Department of Computer Science & Engineering, Z. H. Sikder University of Science & Technology, Shariatpur, Bangladesh
- 1 Department of Mathematics, Islamic University, Kushtia, Bangladesh
- 2 Department of Mathematics, Islamic University, Kushtia, Bangladesh
- 3 Department of Computer Science & Engineering, Z. H. Sikder University of Science & Technology, Shariatpur, Bangladesh
American Journal of Computational Mathematics·Volume 05 (2015)·Pages 414–425·Published 26 November 2015·DOI10.4236/ajcm.2015.54036
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Abstract
This article examines a fifth order critically damped nonlinearsystem in the case of small equal ei genvalues 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.
KeywordsKBMEigenvaluesCritically Damped SystemNonlinearityAsymptotic Solution<i>Runge-Kutta</i>Method
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