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Zbl 1142.35572
Inc, Mustafa
Numerical simulation of KdV and mKdv equations with initial conditions by the variational iteration method. (English)
[J] Chaos Solitons Fractals 34, No. 4, 1075-1081 (2007). ISSN 0960-0779

Summary: A scheme is developed for the numerical study of the Korteweg-de Vries (KdV) and the modified Korteweg-de Vries (mKdV) equations with initial conditions by a variational approach. The exact and numerical solutions obtained by variational iteration method are compared with those obtained by Adomian decomposition method. The comparison shows that the obtained solutions are in excellent agreement.
MSC 2000:
*35Q53 KdV-like equations
65N99 Numerical methods for BVP of PDE

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