Variational iteration method—Some recent results and new interpretations

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This paper is an elementary introduction to the concepts of variational iteration method. First, the main concepts in variational iteration method, such as general Lagrange multiplier, restricted variation, correction functional, are explained heuristically. Subsequently, the solution procedure is systematically addressed, in particular, for nonlinear oscillators. Particular attention is paid throughout the paper to give an intuitive grasp for the method. The main motivation is to put things together in a convenient form for later reference and systematic use.

论文关键词:35A15,34A34,34B15,34C15,Variational iteration method,Nonlinear equations

论文评审过程:Received 16 April 2006, Revised 2 May 2006, Available online 30 August 2006.

论文官网地址:https://doi.org/10.1016/j.cam.2006.07.009