Approximate solutions of fractional Zakharov–Kuznetsov equations by VIM

Approximate solutions of fractional Zakharov–Kuznetsov equations by VIM

This paper presents the approximate analytical solution of a fractional Zakharov–Kuznetsov equation with the help of the powerful variational iteration method. The fractional derivatives are described in the Caputo sense. Several examples are given and the results are compared to exact solutions. Th...

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Veröffentlicht in:Journal of computational and applied mathematics 2009-11, Vol.233 (2), p.103-108
Hauptverfasser: Yulita Molliq, R., Noorani, M.S.M., Hashim, I., Ahmad, R.R.
Format: Artikel
Sprache:eng
Schlagworte:
Calculus of variations and optimal control
Exact sciences and technology
Fractional calculus
Fractional Zakharov–Kuznetsov equation
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Real functions
Sciences and techniques of general use
Variational iteration method
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Beschreibung
Zusammenfassung:This paper presents the approximate analytical solution of a fractional Zakharov–Kuznetsov equation with the help of the powerful variational iteration method. 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.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2009.03.010