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

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Atıf İçin Kopyala

Ozer H.

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, cilt.8, sa.4, ss.513-518, 2007 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 8 Sayı: 4
• Basım Tarihi: 2007
• Doi Numarası: 10.1515/ijnsns.2007.8.4.513
• Dergi Adı: INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.513-518
• Yıldız Teknik Üniversitesi Adresli: Hayır

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.