Application of He's Variational Iteration Method for Solving Nonlinear BBMB Equations and Free Vibration of Systems

• Autores: Davood Domiri Ganji, H. Babazadeh, M. H. Jalaei, H. Tashakkorian
• Localización: Acta applicandae mathematicae, ISSN 0167-8019, Vol. 106, Nº. 3, 2009, págs. 359-367
• Idioma: inglés
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• Resumen

  • A new analytical method called He�s variational iteration method (VIM) is introduced to be applied to solve nonlinear Benjamin-Bona-Mahony-Burgers (BBMB) equations and free vibration of a nonlinear system having combined linear and nonlinear springs in series in this article. In this method, general Lagrange multipliers are introduced to construct correction functionals for the problems. The multipliers can be identified optimally via the variational theory. The results are compared with the results of the homotopy analysis method and also with the exact solution. He�s Variational iteration method in this problem functions so better than the homotopy analysis method and exact solutions one of them in per section.