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- Publisher
- Springer Journals
- Copyright
- Copyright © 2015 by Malaysian Mathematical Sciences Society and Universiti Sains Malaysia
- Subject
- Mathematics; Mathematics, general; Applications of Mathematics
- ISSN
- 0126-6705
- eISSN
- 2180-4206
- DOI
- 10.1007/s40840-015-0191-4
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, a new form of the homotopy perturbation method has been adopted for solving nonlinear Duffing’s equations, which yields the Maclaurin series of the exact solution. The Laplace transformation is applied to the truncated Maclaurin series, and then the Padé approximation with fast convergence rate and high accuracy is used for the solution derived from the Laplace transformation. Illustrative examples are given to demonstrate the efficiency and the simplicity of the proposed method.
Journal
Bulletin of the Malaysian Mathematical Sciences Society – Springer Journals
Published: Dec 16, 2015