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Zbl 1173.65066
Molliq, R.Yulita; Noorani, M.S.M.; Hashim, I.; Ahmad, R.R.
Approximate solutions of fractional Zakharov-Kuznetsov equations by VIM. (English)
[J] J. Comput. Appl. Math. 233, No. 2, 103-108 (2009). ISSN 0377-0427

Summary: This paper presents the approximate analytical solution of a fractional Zakharov-Kuznetsov equation with the help of the powerful variational iteration method (VIM). The fractional derivatives are described in the Caputo sense. Several examples are given and the results are compared to exact solutions. The results show that the variational iteration method is very effective, convenient and simple to use.

MSC 2000:: *65M70 Spectral, collocation and related methods (IVP of PDE)
45K05 Integro-partial differential equations
26A33 Fractional derivatives and integrals (real functions)
35Q53 KdV-like equations
65M70 Spectral, collocation and related methods (IVP of PDE)

Keywords: variational iteration method; Caputo fractional calculus; fractional Zakharov-Kuznetsov equation; numerical examples; approximate analytical solution; variational iteration method

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Zentralblatt MATH Berlin [Germany]