ASYMPTOTIC SOLUTION OF SECOND ORDER OVER-DAMPED NON-LINEAR SYSTEMS FOR SMALL RATIO OF THE EIGENVALUES

Mo. Rokibul  Islam; M. Mizanur  Rahman; M. Ali  Akbar; M. Sharif  Uddin

doi:10.53808/KUS.2008.9.2.0840-PS

Authors

Mo. Rokibul Islam Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh
M. Mizanur Rahman Department of Mathematics, Islamic University, Kushtia-7003, Bangladesh
M. Ali Akbar Department of Applied Mathematics, Rajshahi University, Rajshahi-6205, Bangladesh
M. Sharif Uddin Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh

DOI:

https://doi.org/10.53808/KUS.2008.9.2.0840-PS

Keywords:

Perturbation, Asymptotic Solution, Over-Damped

Abstract

A technique is developed for obtaining the solution of second order over-damped non-linear systems based on the Krylov-Bogoliubov-Mitropolskii (KBM) method for small ratio of the eigenvalues. The solution is also useful for large ratio of the eigenvalues. The method is illustrated by an example.

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