Shamima Aktar

Work place: Dept. of Mathematics, Jessore University of Science and Technology Jessore-7804, Bangladesh.



Research Interests: Mathematical Software, Solid Modeling, Chemistry & Materials Science


Shamima Aktar (Born December 11, 1989) is working as a lecturer in the Jessore University of Science and Technology. She received her B.Sc. and M.Sc. degree from Islamic University, Bangladesh. She has published 3(three) research works in reputed international journals. She awarded the Prime Minister Gold Medal-2013 for her academic excellence from Prime Minister, People’s Republic of Bangladesh. Her research areas of Interests are in Differential equation, Mathematical Modeling and Heat science.

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

By Shamima Aktar M. Abul Kawser

DOI:, 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.

[...] Read more.
Other Articles