APPROXIMATE SOLUTIONS OF NONLINEAR OSCILLATORS
The modified homotopy perturbation method (MHPM) is used for solving the differential equation of pendulum model. Comparisons are made between the standard HPM and the MHPM. The results show that this method is effective and can obtain high accuracy solutions by only one iteration.
Anahtar Kelimeler:
Nonlinear Oscillators, Homotopy Perturbation Method, Modified Homotopy Perturbation Method, Simple Pendulum, Approximate Solutions
APPROXİMATE SOLUTIONS OF NONLINEAR OSCİLLATORS
The modified homotopy perturbation method(MHPM) is used for solving the differential equation of pendulum model. Comparisons are made between the standard HPM and the MHPM. The results show that this method is effective and can obtain high accuracy solutions by only one iteration.
Keywords:
Nonlinear Oscillators, Homotopy Perturbation Method, Modified Homotopy Perturbation Method, Simple pendulum, Approximate solutions,
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- 3. Babolian, E., Saeidian, J. and Azizi, A., (2009). Application of Homotopy Perturbation Method to Some Nonlinear Problems. Applied Mathematical Sciences, 3, 45, 2215–2226. http://www.m-hikari.com/ams/ams-password-2009/ams-password45-48-2009/saeidianAMS45-48-2009.pdf
- Başlangıç: 2009
- Yayıncı: E-Journal of New World Sciences Academy