Öz
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
Kaynakça
- 1. He, J.H., (1999). Homotopy perturbation technique. Comput. Methods Appl. Mech. Eng., 178, 3-4 257–262. http://dx.doi.org/10.1016/S0045-7825(99)00018-3
- 2. He, J.H., (2003). Homotopy perturbation method: a new nonlinear analytical technique. Applied Mathematics and Computation., 135, 1, 73–79. http://dx.doi.org/10.1016/S0096-3003(01)00312-5
- 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
Öz
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
Kaynakça
- 1. He, J.H., (1999). Homotopy perturbation technique. Comput. Methods Appl. Mech. Eng., 178, 3-4 257–262. http://dx.doi.org/10.1016/S0045-7825(99)00018-3
- 2. He, J.H., (2003). Homotopy perturbation method: a new nonlinear analytical technique. Applied Mathematics and Computation., 135, 1, 73–79. http://dx.doi.org/10.1016/S0096-3003(01)00312-5
- 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
Ayrıntılar
| Konular | Mühendislik |
|---|---|
| Bölüm | Fizik |
| Yazarlar | |
| Yayımlanma Tarihi | 2 Ocak 2017 |
| Yayımlandığı Sayı | Yıl 2017 Cilt: 12 Sayı: 1 |