Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1866138 | Physics Letters A | 2008 | 7 Pages |
Abstract
Homotopy perturbation method is an effective method to find a solution of a nonlinear differential equation. In this method, a nonlinear complex differential equation is transformed to a series of linear and nonlinear parts, almost simpler differential equations. These sets of equations are then solved iteratively. Finally, a linear series of the solutions completes the answer if the convergence is maintained. In this Letter, the need for stability verification is shown through some examples. Consequently, HPM is enhanced by a preliminary assumption. The idea is to keep the inherent stability of nonlinear dynamic, even the selected linear part is not.
Keywords
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
S.H. Hosein Nia, A.N. Ranjbar, D.D. Ganji, H. Soltani, J. Ghasemi,