Research PaperNo Access

A novel computational approach for a nonlinear fractional model of plasma physics

Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran

Department of Mathematics, Faculty of Basic Science, Babol Noshirvani University of Technology, Shariati Ave., Babol, 47148-71167, Iran

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S. E. Ghasemi

Department of Engineering Sciences, Hakim Sabzevari University, Sabzevar, Iran

E-mail Address: se.ghasemi@hsu.ac.ir

Corresponding author.

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https://doi.org/10.1142/S0129183122501248Cited by:10 (Source: Crossref)

Abstract

In the current study, a well-known fractional nonlinear differential equation called Zakharov–Kuznetsov equation which has many applications in engineering and physics is investigated. An effective computational techniques namely Daftardar–Jafari Method (DJM) and He’s fractional derivative are employed to model the problem for obtaining a high accuracy of the analytical solution. The governing equations are solved and comparison of the results with exact solutions is presented to evaluate the precision of the presented method. The outcomes reveal that the DJM is efficient and easy to utilize. Further, three-dimensional contour plots are depicted according to the suitable parameters values.

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