A new iterative technique for a fractional model of nonlinear Zakharov–Kuznetsov equations via Sumudu transform

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摘要

The main objective of this paper is to suggest a new computational technique namely new iterative Sumudu transform method (NISTM) to solve numerically nonlinear time-fractional Zakharov–Kuznetsov (FZK) equation in two dimensions. We implemented the proposed technique on two test examples, plotted the solution and compared the absolute error with the variational iterative technique (VIM) and homotopy perturbation transform method (HPTM).

论文关键词:Time-fractional Zakharov–Kuznetsov equations,New iterative Sumudu transform method,Caputo fractional derivative

论文评审过程:Received 8 September 2017, Revised 22 March 2018, Accepted 25 March 2018, Available online 18 May 2018, Version of Record 18 May 2018.

论文官网地址:https://doi.org/10.1016/j.amc.2018.03.097