Numerical Solutions of Time Fractional Zakharov-Kuznetsov Equation via Natural Transform Decomposition Method with Nonsingular Kernel Derivatives

By Meiling Zhou, A. S. V. Ravi Kanth, K. Aruna, K. Raghavendar, Hadi Rezazadeh, M. Inc., Ayman A. Aly. Journal of Function Spaces, 2021

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In this paper, we have studied the time-fractional Zakharov-Kuznetsov equation (TFZKE) via natural transform decomposition method (NTDM) with nonsingular kernel derivatives. The fractional derivative considered in Caputo-Fabrizio (CF) and Atangana-Baleanu derivative in Caputo sense (ABC). We employed natural transform (NT) on TFZKE followed by inverse natural transform, to obtain the solution of the equation. To validate the method, we have considered a few examples and compared with the actual results. Numerical results are in accordance with the existing results.

Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics

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