Application of the variational iteration method to the boundary value problems with jump discontinuities arising in solid mechanics


Ozer H.

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, cilt.8, ss.513-518, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 8 Konu: 4
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1515/ijnsns.2007.8.4.513
  • Dergi Adı: INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
  • Sayfa Sayıları: ss.513-518

Özet

In this study, the well known fie's variational iteration method is used for the boundary value problems with jump discontinuities. The method depends on constructing a correction functional by a general Lagrange multiplier. Some examples are given to illustrate the efficiency of the proposed method. The exact solutions are obtained by only one iteration. This confirms that the method is a powerful mathematical tool to obtaining the solutions easily by reducing the volume of calculations.