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APPROXİMATE SOLUTIONS OF NONLINEAR OSCİLLATORS

Year 2017, Volume: 12 Issue: 1, 1 - 7, 02.01.2017

ŞERİFE Faydaoğlu

Abstract



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

References

  • 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

APPROXIMATE SOLUTIONS OF NONLINEAR OSCILLATORS

Year 2017, Volume: 12 Issue: 1, 1 - 7, 02.01.2017

ŞERİFE Faydaoğlu

Abstract



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

References

  • 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
There are 3 citations in total.

Details

Subjects Engineering
Journal Section Physics
Authors

ŞERİFE Faydaoğlu

Publication Date January 2, 2017
Published in Issue Year 2017 Volume: 12 Issue: 1

Cite

APA Faydaoğlu, Ş. (2017). APPROXIMATE SOLUTIONS OF NONLINEAR OSCILLATORS. Physical Sciences, 12(1), 1-7. https://doi.org/NWSA.2017.12.1.3A0078
AMA Faydaoğlu Ş. APPROXIMATE SOLUTIONS OF NONLINEAR OSCILLATORS. Physical Sciences. January 2017;12(1):1-7. doi:NWSA.2017.12.1.3A0078
Chicago Faydaoğlu, ŞERİFE. “APPROXIMATE SOLUTIONS OF NONLINEAR OSCILLATORS”. Physical Sciences 12, no. 1 (January 2017): 1-7. https://doi.org/NWSA.2017.12.1.3A0078.
EndNote Faydaoğlu Ş (January 1, 2017) APPROXIMATE SOLUTIONS OF NONLINEAR OSCILLATORS. Physical Sciences 12 1 1–7.
IEEE Ş. Faydaoğlu, “APPROXIMATE SOLUTIONS OF NONLINEAR OSCILLATORS”, Physical Sciences, vol. 12, no. 1, pp. 1–7, 2017, doi: NWSA.2017.12.1.3A0078.
ISNAD Faydaoğlu, ŞERİFE. “APPROXIMATE SOLUTIONS OF NONLINEAR OSCILLATORS”. Physical Sciences 12/1 (January 2017), 1-7. https://doi.org/NWSA.2017.12.1.3A0078.
JAMA Faydaoğlu Ş. APPROXIMATE SOLUTIONS OF NONLINEAR OSCILLATORS. Physical Sciences. 2017;12:1–7.
MLA Faydaoğlu, ŞERİFE. “APPROXIMATE SOLUTIONS OF NONLINEAR OSCILLATORS”. Physical Sciences, vol. 12, no. 1, 2017, pp. 1-7, doi:NWSA.2017.12.1.3A0078.
Vancouver Faydaoğlu Ş. APPROXIMATE SOLUTIONS OF NONLINEAR OSCILLATORS. Physical Sciences. 2017;12(1):1-7.