AN EASIER ASYMPTOTIC METHOD FOR SOLVING SECOND ORDER OVER-DAMPED NONLINEAR SYSTEMS

M.  Samsuzzoha; M. Golam  Azom; B.K.  Mondal; M.S.  Anis

doi:10.53808/KUS.2006.7.1.0603-PS

Authors

M. Samsuzzoha Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
M. Golam Azom Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
B.K. Mondal Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
M.S. Anis Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh

DOI:

https://doi.org/10.53808/KUS.2006.7.1.0603-PS

Keywords:

Asymptotic method, second order, nonlinear, Krylov-Bogoliubov-Mitropolskii method

Abstract

By means of the extended Krylov-Bogoliubov-Mitropolskii method, an asymptotic solution of second order over-damped nonlinear system is found. The results obtained by this method are exactly same as the results obtained by Murty et al. (1969). The determination of the solution followed by Murty et al. (1969) is too much laborious and cumbersome. On the contrary, the present method is very simple and easier. It is illustrated by an example.

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References

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