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Solving nonlinear partial differential equations using the modified variational iteration Padé technique. (English) Zbl 1119.65095
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:
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35Q51 Soliton equations
35Q53 KdV equations (Korteweg-de Vries equations)
Software:
Mathematica
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