A Unified KBM Method for Obtaining the Second Approximate Solution of a Third Order Weakly Non-linear Differential System with Strong Damping and Slowly Varying Coefficients

Authors

  • M Alhaz Uddin Department of Mathematics, Khulna University of Engineering and Technology, Khulna
  • MAM Talukder Department of Mathematics, Khulna University of Engineering and Technology, Khulna
  • M Hasanuzzaman Department of Mathematics, Khulna University of Engineering and Technology, Khulna
  • MST Mumtahinah Department of Business Administration, IBAIS University, Dhaka

DOI:

https://doi.org/10.3329/jbas.v35i1.7973

Keywords:

KBM method, Damped oscillatory process, Strong damping, Slowly varying coefficients

Abstract

To obtain the second order approximate solution of a third order weakly nonlinear ordinary differential system with strong damping and slowly varying coefficients modeling a damped oscillatory process is considered based on the extension of a unified Krylov-Bogoliubov- Mitropolskii (KBM) method. The asymptotic solution for different initial conditions shows a good coincidence with those obtained by the numerical procedure for obtaining the transients response. The method is illustrated by an example.

DOI: http://dx.doi.org/10.3329/jbas.v35i1.7973

Journal of Bangladesh Academy of Sciences, Vol.35, No.1, 77-89, 2011

Downloads

Download data is not yet available.
Abstract
125
PDF
107

Downloads

Published

2011-07-08

How to Cite

Uddin, M. A., Talukder, M., Hasanuzzaman, M., & Mumtahinah, M. (2011). A Unified KBM Method for Obtaining the Second Approximate Solution of a Third Order Weakly Non-linear Differential System with Strong Damping and Slowly Varying Coefficients. Journal of Bangladesh Academy of Sciences, 35(1), 77–89. https://doi.org/10.3329/jbas.v35i1.7973

Issue

Vol. 35 No. 1 (2011)

Section

Articles