A relationship between three analytical approaches to nonlinear problems


YILDIRIM A. , ASKARI H., YAZDI M. K. , KHAN Y.

APPLIED MATHEMATICS LETTERS, cilt.25, ss.1729-1733, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 25 Konu: 11
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.aml.2012.02.001
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Sayfa Sayıları: ss.1729-1733

Özet

In this work, the relationship between three analytical techniques is demonstrated. The direct relationship between the variational approach (VA) and the Hamiltonian approach (HA) is illustrated for a first approximation, and subsequently the relationship between the variational approach and the harmonic balance method (HBM) is concluded. Moreover, the relationship between HA and VA is investigated for higher order solutions. (C) 2012 Elsevier Ltd. All rights reserved.