Abstract
Purpose: This paper proposes the use of different analytical methods in obtaining approximate solutions for nonlinear differential equations with oscillations. Methods: Three methods are considered in this paper: Lindstedt-Poincare method, the Krylov-Bogoliubov first approximate method, and the differential transform method. Results: Figures that are given in this paper give a strong evidence that the proposed methods are effective in handling nonlinear differential equations with oscillations. Conclusions: This study reveals that the differential transform method provides a remarkable precision compared with other perturbation methods.
Original language | English |
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Article number | 32 |
Journal | Mathematical Sciences |
Volume | 6 |
Issue number | 1 |
DOIs | |
Publication status | Published - Dec 2012 |
Externally published | Yes |
Keywords
- Differential transform method
- Krylov-Bogoliubov method
- Lindstedt-Poincare method
- Nonlinear oscillations
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
- Numerical Analysis
- Statistics and Probability
- Information Systems
- Signal Processing
- Computer Science Applications