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

被引：52

作者：

Prakash, Amit ^{[1
]}

Kumar, Manoj ^{[1
]}

Baleanu, Dumitru ^{[2
,3
]}

机构：

[1] Natl Inst Technol, Dept Math, Kurukshetra 136119, Haryana, India

[2] Cankaya Univ, Fac Arts & Sci, Dept Math, Etimesgut, Turkey

[3] Inst Space Sci, Bucharest, Romania

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 334卷

关键词：

Time-fractional Zakharov-Kuznetsov equations; New iterative Sumudu transform method; Caputo fractional derivative; FOKKER-PLANCK EQUATION; APPROXIMATE SOLUTION; NUMERICAL-METHOD; LAPLACE; DERIVATIVES;

D O I：

10.1016/j.amc.2018.03.097

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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). (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：30 / 40

页数：11

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