Sinusoidal Time-Dependent Power Series Solution to Modified Duffing Equation ()
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.
Share and Cite:
Sarafian, H. (2018) Sinusoidal Time-Dependent Power Series Solution to Modified Duffing Equation.
American Journal of Computational Mathematics,
8, 259-268. doi:
10.4236/ajcm.2018.83021.
Cited by
No relevant information.