Approximate solutions of fractional Zakharov-Kuznetsov equations by VIM

Authors:
R. Yulita Molliq;M. S. M. Noorani;I. Hashim;R. R. Ahmad
Affiliations:
Centre for Modelling & Data Analysis, School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia;Centre for Modelling & Data Analysis, School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia;Centre for Modelling & Data Analysis, School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia;Centre for Modelling & Data Analysis, School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

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.