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Solving nonlinear partial differential equations using the modified variational iteration Padé technique

Authors
Journal
Journal of Computational and Applied Mathematics
0377-0427
Publisher
Elsevier
Publication Date
Volume
207
Issue
1
Identifiers
DOI: 10.1016/j.cam.2006.07.024
Keywords
  • Nonlinear Partial Differential Equations
  • Variational Iteration Method
  • Solitons
  • Padé Technique
  • Mathematica

Abstract

Abstract 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.

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