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Sinusoidal Time-Dependent Power Series Solution to Modified Duffing Equation
The Pennsylvania State University, University College, York, PA, USA
- 1 The Pennsylvania State University, University College, York, PA, USA
American Journal of Computational Mathematics·Volume 08 (2018)·Pages 259–268·Published 31 August 2018·DOI10.4236/ajcm.2018.83021
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Abstract
Duffing equation, , has a standard well-known ex-act solution [1]. Approximate solutions to this equation also are available [2]. Reference [3] [4] introduces a sinusoidal time-dependent Power Series solution. Applying this method successfully we investigate the approximate solution of the modified Duffing equations, , for n = 4 and 5. Symbolic manipulative utilities of a Computer Algebra System (CAS) specifically Mathematica [5] extensively is used investigating the results.
KeywordsDuffing EquationModified Duffing EquationNonlinear Quartic and Quintic Terms<i>Mathematica</i>
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