M. Abul Kawser

Work place: Dept. of Mathematics, Islamic University, Kushtia-7003, Bangladesh.



Research Interests: Mathematics, Computational Mathematics


Abul Kawser is working as an Associate Professor in Islamic University, Bangladesh. He completed his bachelor and master degree from University of Rajshahi, Bangladesh. He has published a number of research works in reputed national and international journals. His research areas of Interest is Nonlinear Differential equation.

Author Articles
Asymptotic Solutions of a Semi-submerged Sphere in a Liquid under Oscillations

By Shamima Aktar M. Abul Kawser

DOI: https://doi.org/10.5815/ijmsc.2018.03.05, Pub. Date: 8 Jul. 2018

One of the most widely used techniques to look into transient behaviour of vibrating systems is the Krylov-Bogoliubov-Mitropolskii (KBM) method, which was developed for obtaining the periodic solutions of second order nonlinear differential systems of small nonlinearities. Later on, this method was studied and modified by numerous scholars to obtain solutions of higher order nonlinear systems. This article modified the method to study the solutions of semi-submerged sphere in a liquid which is floating owing to the gravitational force and the upward pressure of the liquid. This paper suggests that the results obtained for different sets of initial conditions by the modified KBM method correspond well with those obtained by the numerical method.

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