Solution of Excited Non-Linear Oscillators under Damping Effects Using the Modified Differential Transform Method
The modified differential transform method (MDTM), Laplace transform and Padé approximants are used to investigate a semi-analytic form of solutions of nonlinear oscillators in a large time domain. Forced Duffing and forced van der Pol oscillators under damping effect are studied to investigate semi...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2016-03-01
|
Series: | Mathematics |
Subjects: | |
Online Access: | http://www.mdpi.com/2227-7390/4/1/11 |
Summary: | The modified differential transform method (MDTM), Laplace transform and Padé approximants are used to investigate a semi-analytic form of solutions of nonlinear oscillators in a large time domain. Forced Duffing and forced van der Pol oscillators under damping effect are studied to investigate semi-analytic forms of solutions. Moreover, solutions of the suggested nonlinear oscillators are obtained using the fourth-order Runge-Kutta numerical solution method. A comparison of the result by the numerical Runge-Kutta fourth-order accuracy method is compared with the result by the MDTM and plotted in a long time domain. |
---|---|
ISSN: | 2227-7390 |