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Zbl 1119.65095
Abassy, Tamer A.; El-Tawil, Magdy A.; El Zoheiry, H.
Solving nonlinear partial differential equations using the modified variational iteration Padé technique. (English)
[J] J. Comput. Appl. Math. 207, No. 1, 73-91 (2007). ISSN 0377-0427

Summary: 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. Korteweg-de Vries (KdV), modified KdV, Burger's and Lax's equations are used as examples to illustrate the effectiveness and convenience of the proposed technique.

MSC 2000:: *65M70 Spectral, collocation and related methods (IVP of PDE)
35Q51 Solitons
35Q53 KdV-like equations

Keywords: variational iteration method; solitons; Padé technique; Mathematica; Korteweg-de Vries equation; Burgers equation; numerical examples; Lax's equation

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Zentralblatt MATH Berlin [Germany]