A Novel Analysis of Generalized Perturbed Zakharov–Kuznetsov Equation of Fractional-Order Arising in Dusty Plasma by Natural Transform Decomposition Method
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Date
2022-06
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Hindawi
Abstract
The natural transform decomposition method (NTDM) is a relatively new transformation method for finding an approximate
differential equation solution. In the current study, the NTDM has been used for obtaining an approximate solution of the
fractional-order generalized perturbed Zakharov–Kuznetsov (GPZK) equation. The method has been tested for three nonlinear
cases of the fractional-order GPZK equation. The absolute errors are analyzed by the proposed method and the q-homotopy
analysis transform method (q-HATM). 3D and 2D graphs have shown the proposed method’s accuracy and effectiveness.
NTDM gives a much-closed solution after a few terms.
Description
This article is published by Hindawi, 2022 and is also available at https://doi.org/10.1155/2022/7036825
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Hindawi Journal of Nanomaterials Volume 2022, Article ID 7036825, 15 pages