A robust fuzzy-fractional approach for the atmospheric internal wave model

IF 13 1区 工程技术 Q1 ENGINEERING, MARINE Journal of Ocean Engineering and Science Pub Date : 2023-06-01 DOI:10.1016/j.joes.2022.02.001
Parthkumar P. Sartanpara, Ramakanta Meher
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引用次数: 9

Abstract

The study of internal atmospheric waves, also known as gravity waves, which are detectable inside the fluid rather than at the fluid surface, is presented in this work. We have used the time-fractional and fuzzy-fractional techniques to solve the differential equation system representing the atmospheric internal waves model. The q-Homotopy analysis Shehu transform technique (q-HAShTM) is used to solve the model. The method helps find convergent solutions since it helps solve nonlinearity, and the fractional derivative can be easily computed using the Shehu transform. Finally, the obtained solution is compared for the particular case of α=1 with the HAM solution to explain the method’s accuracy.

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大气内波模型的一种鲁棒模糊分式方法
研究内部大气波,也被称为重力波,它是在流体内部而不是在流体表面检测到的,在这项工作中提出。我们用时间分式和模糊分式技术求解了大气内波模型的微分方程组。采用q-同伦分析Shehu变换技术(q-HAShTM)求解该模型。该方法有助于求解非线性问题,有助于找到收敛解,并且可以使用Shehu变换轻松计算分数阶导数。最后,对α=1的特殊情况与HAM解进行了比较,说明了该方法的准确性。
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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.
期刊最新文献
Editorial Board Editorial Board On thermoelastic problem based on four theories with the efficiency of the magnetic field and gravity New-fashioned solitons of coupled nonlinear Maccari systems describing the motion of solitary waves in fluid flow Analytical study of atmospheric internal waves model with fractional approach
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