Constructing analytical estimates of the fuzzy fractional-order Boussinesq model and their application in oceanography

IF 13 1区 工程技术 Q1 ENGINEERING, MARINE
Saima Rashid , Mohammed K.A. Kaabar , Ali Althobaiti , M.S. Alqurashi
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引用次数: 6

Abstract

The main idea of this article is the investigation of atmospheric internal waves, often known as gravity waves. This arises within the ocean rather than at the interface. A shallow fluid assumption is illustrated by a series of nonlinear partial differential equations in the framework. Because the waves are scattered over a wide geographical region, this system can precisely replicate atmospheric internal waves. In this research, the numerical solutions to the fuzzy fourth-order time-fractional Boussinesq equation (BSe) are determined for the case of the aquifer propagation of long waves having small amplitude on the surface of water from a channel. The novel scheme, namely the generalized integral transform (proposed by H. Jafari [35]) coupled with the Adomian decomposition method (GIADM), is used to extract the fuzzy fractional BSe in R,Rn and (2nth)-order including gH-differentiability. To have a clear understanding of the physical phenomena of the projected solutions, several algebraic aspects of the generalized integral transform in the fuzzy Caputo and Atangana-Baleanu fractional derivative operators are discussed. The confrontation between the findings by Caputo and ABC fractional derivatives under generalized Hukuhara differentiability are presented with appropriate values for the fractional order and uncertainty parameters [0,1] were depicted in diagrams. According to proposed findings, hydraulic engineers, being analysts in drainage or in water management, might access adequate storage volume quantity with an uncertainty level.

模糊分数阶Boussinesq模型的分析估计及其在海洋学中的应用
这篇文章的主要思想是研究大气内波,通常被称为重力波。这是在海洋中产生的,而不是在界面上。框架中的一系列非线性偏微分方程说明了浅层流体假设。由于波浪分散在广阔的地理区域,该系统可以精确地复制大气内波。在这项研究中,对于具有小振幅的长波在渠道水面上的含水层传播情况,确定了模糊四阶时间分数Boussinesq方程(BSe)的数值解。将广义积分变换(由H.Jafari[35]提出)与Adomian分解方法(GIADM)相结合的新方案用于提取R、Rn和(2n)阶的模糊分数BSe,包括gH可微性。为了清楚地理解投影解的物理现象,讨论了模糊Caputo和Atangana-Baleanu分数导数算子中广义积分变换的几个代数方面。Caputo和ABC分数导数在广义Hukuhara可微性下的发现之间的对抗,给出了分数阶和不确定性参数的适当值℘∈[0,1]如图所示。根据拟议的调查结果,水力工程师作为排水或水管理方面的分析师,可能会在不确定的情况下获得足够的储存量。
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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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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