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Volume 1, Issue 1, December 2012, Page: 1-5
Approximate solutionsof Damped Nonlinear Vibrating System with Varying Coefficients under Some Conditions
Pinakee Dey, Department of Mathematics, Mawlana Bhashani Science and Technology University, Santosh, Tangail-1902, Bangladesh.
Babul Hossain, Department of Mathematics, Mawlana Bhashani Science and Technology University, Santosh, Tangail-1902, Bangladesh.
Musa Miah, Department of Mathematics, Mawlana Bhashani Science and Technology University, Santosh, Tangail-1902, Bangladesh.
Mohammad Mokaddes Ali, Department of Mathematics, Mawlana Bhashani Science and Technology University, Santosh, Tangail-1902, Bangladesh.
Received: Dec. 30, 2012;       Published: Dec. 30, 2012
DOI: 10.11648/j.acm.20120101.11      View  3683      Downloads  135
Abstract
Krylov-Bogoliubov-Mitropolskii (KBM) method has been extended to certain damped-oscillatory nonlinear systems with varying coefficients. The solution obtained for different initial conditions for a second order nonlinear system show a good coincidence with those obtained by numerical method. The method is illustrated by an example.
Keywords
Nonlinear System, Varying Coefficient, Unperturbed Equation, Damped Oscillatory System
To cite this article
Pinakee Dey, Babul Hossain, Musa Miah, Mohammad Mokaddes Ali, Approximate solutionsof Damped Nonlinear Vibrating System with Varying Coefficients under Some Conditions, Applied and Computational Mathematics. Vol. 1, No. 1, 2012, pp. 1-5. doi: 10.11648/j.acm.20120101.11
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