海啸波传播模型:分式方法

IF 13 1区工程技术 Q1 ENGINEERING, MARINE

Journal of Ocean Engineering and Science Pub Date : 2022-12-01 DOI:10.1016/j.joes.2021.10.004

Priti Tandel , Hardik Patel , Trushit Patel

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引用次数: 13

摘要

本文提出了一种分式方法来研究海啸波沿海洋海岸线传播的数学模型。采用分数阶降阶微分变换方法(FRDTM)对该模型进行分析。本模型是在浅水假设下进行研究的。它用非线性偏微分方程的时间分数耦合系统来表示。得到了不同海岸坡度和海洋深度下模型的解。在不同的时间水平和不同的α阶上证明了海岸坡度和海深变化对海啸波速和波浪放大的影响。将所得结果与Elzaki Adomian分解方法(EADM)进行比较，验证了该方法在阶数α=1时的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Tsunami wave propagation model: A fractional approach

This paper presents a fractional approach to study the mathematical model of tsunami wave propagation along a coastline of an ocean. Fractional Reduced Differential Transform Method (FRDTM) is used to analyze this model. The present model has been studied on the shallow-water assumption. It is represented by a time-fractional coupled system of non-linear partial differential equations. Solutions to the proposed model for different coastal slopes and ocean depths have been obtained. Effects of coast slope and sea depth variations on tsunami wave velocity and wave amplification have been demonstrated at different time levels and different orders $α$ . The obtained results are compared with Elzaki Adomian Decomposition Method (EADM) to validate the proposed method for an order $α = 1$ .

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来源期刊

Journal of Ocean Engineering and Science Multiple-

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.