Approximate periodic solutions for the Helmholtz-Duffing equation


ASKARI H., SAADATNIA Z., YOUNESIAN D., YILDIRIM A. , KALAMI-YAZDI M.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.62, ss.3894-3901, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 62 Konu: 10
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.camwa.2011.09.042
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Sayfa Sayıları: ss.3894-3901

Özet

Approximate periodic solutions for the Helmholtz-Duffing oscillator are obtained in this paper. He's Energy Balance Method (HEBM) and He's Frequency Amplitude Formulation (HFAF) are adopted as the solution methods. Oscillation natural frequencies are analytically analyzed. Error analysis is carried out and accuracy of the solution methods is evaluated. (C) 2011 Elsevier Ltd. All rights reserved.