Solving nonlinear partial differential equations using the modified variational iteration Padé technique
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摘要
In this paper, the modified variational iteration method (MVIM) is reintroduced with the enhancement of Padé approximants to lengthen the interval of convergence of VIM or MVIM when used alone in solving nonlinear problems. KdV, mKdV, Burger's and Lax's equations are used as examples to illustrate the effectiveness and convenience of the proposed technique.
论文关键词:34G20,41A21,35A15,Nonlinear partial differential equations,Variational iteration method,Solitons,Padé technique,Mathematica
论文评审过程:Received 1 March 2006, Revised 3 May 2006, Available online 30 August 2006.
论文官网地址:https://doi.org/10.1016/j.cam.2006.07.024