求解海洋学中分数阶偏微分方程的新的广义模糊变换计算

IF 13 1区 工程技术 Q1 ENGINEERING, MARINE
Saima Rashid , Rehana Ashraf , Zakia Hammouch
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引用次数: 6

摘要

本文对浅水中的非线性波浪进行了研究。Korteweg-de-Vries(KdV)方程有一个基于海洋学理论、海洋中的浅水波和等离子体中的内部离子声波的规范版本。事实上,本研究的主要目标是采用基于同伦微扰变换方法(HPTM)的半解析方法,获得非线性色散和五阶KdV模型的数值结果,用于通过模糊性研究等离子体中磁声波的行为。该方法与模糊广义积分变换和HPTM相结合。此外,给出了关于模糊偏gH导数的模糊广义积分变换的两个新结果。举例说明了该方法的有效性和优越性。此外,2D和3D模拟描述了两个分数导数算子(Caputo意义上的Caputo和Atangana-Baleanu分数导数算子)在广义gH可微性下的比较分析。投影法(GHPTM)展示了在科学领域处理非线性波动方程的各种应用。目前的工作,作为GHPTM的一种新用途,证明了与现有类似方法的一些关键差异。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
New generalized fuzzy transform computations for solving fractional partial differential equations arising in oceanography

This paper presents a study of nonlinear waves in shallow water. The Korteweg-de Vries (KdV) equation has a canonical version based on oceanography theory, the shallow water waves in the oceans, and the internal ion-acoustic waves in plasma. Indeed, the main goal of this investigation is to employ a semi-analytical method based on the homotopy perturbation transform method (HPTM) to obtain the numerical findings of nonlinear dispersive and fifth order KdV models for investigating the behaviour of magneto-acoustic waves in plasma via fuzziness. This approach is connected with the fuzzy generalized integral transform and HPTM. Besides that, two novel results for fuzzy generalized integral transformation concerning fuzzy partial gH-derivatives are presented. Several illustrative examples are illustrated to show the effectiveness and supremacy of the proposed method. Furthermore, 2D and 3D simulations depict the comparison analysis between two fractional derivative operators (Caputo and Atangana-Baleanu fractional derivative operators in the Caputo sense) under generalized gH-differentiability. The projected method (GHPTM) demonstrates a diverse spectrum of applications for dealing with nonlinear wave equations in scientific domains. The current work, as a novel use of GHPTM, demonstrates some key differences from existing similar methods.

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来源期刊
CiteScore
11.50
自引率
19.70%
发文量
224
审稿时长
29 days
期刊介绍: The Journal of Ocean Engineering and Science (JOES) serves as a platform for disseminating original research and advancements in the realm of ocean engineering and science. JOES encourages the submission of papers covering various aspects of ocean engineering and science.
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