HIGHER ORDER IMPROVED SOLUTION OF SECOND ORDER OVER-DAMPED NON-LINEAR SYSTEMS

M.  Samsuzzoha; Mo. Rokibul  Islam; M. Ali  Akbar; M.I.H.  Shaikh; F.  Amin

doi:10.53808/KUS.2007.8.1.0635-PS

Authors

M. Samsuzzoha Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
Mo. Rokibul Islam Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
M. Ali Akbar Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
M.I.H. Shaikh Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
F. Amin Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh

DOI:

https://doi.org/10.53808/KUS.2007.8.1.0635-PS

Keywords:

Perturbation, asymptotic solutions, over-damping, non-linear system

Abstract

A second order nonlinear differential system modeling non-oscillatory processes by over damping is considered. Then second order approximate solution is found by means of an extension of the Krylov-Bogoliubov-Mitropolskii (KBM) method. The method is illustrated by an example. The solutions for different initial conditions show a good agreement with those obtained by numerical solution.

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References

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