TITLE:
Sinusoidal Time-Dependent Power Series Solution to Modified Duffing Equation
AUTHORS:
Haiduke Sarafian
KEYWORDS:
Duffing Equation, Modified Duffing Equation, Nonlinear Quartic and Quintic Terms, Mathematica
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.8 No.3,
September
29,
2018
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.