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arXiv · 1708.07970

On the Comparison of Perturbation-Iteration Algorithm and Residual Power Series Method to Solve Fractional Zakharov-Kuznetsov Equation

Mehmet Senol·Hamed Daei Kasmaei
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Abstract

In this paper, we present analytic-approximate solution of a fractional Zakharov-Kuznetsov equation by means of perturbation-iteration algorithm (PIA) and residual power series method (RSPM). Basic definitions of fractional derivatives are described in the Caputo sense. Several examples are given and the results are compared to exact solutions. The results show that both methods are competitive, effective, convenient and simple to use.

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Mehmet Senol, Hamed Daei Kasmaei. 2017-08-26. On the Comparison of Perturbation-Iteration Algorithm and Residual Power Series Method to Solve Fractional Zakharov-Kuznetsov Equation. https://doi.org/10.1016/j.rinp.2018.02.056

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