Computational analysis for fractional model of coupled Whitham-Broer-Kaup equation

IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY alexandria engineering journal Pub Date : 2024-10-30 DOI:10.1016/j.aej.2024.09.061
Jagdev Singh , Arpita Gupta , Dumitru Baleanu
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Abstract

In this research paper, we study a semi analytical technique to solve the nonlinear partial differential equations. This technique is good combination of homotopy analysis method with Kharrat-Toma transform. Also, we present the numerical solution of nonlinear fractional coupled Whitham-Broer-Kaup equation using studied technique. The Whitham-Broer-Kaup model is broadly considered to study the tsunami wave dynamics under gravity. The regularized version of Hilfer-Prabhakar fractional derivative is used to model the problem. Some qualitative properties, existence and uniqueness of the considered model and its solution are also discussed.The obtained solutions are presented graphically to show the efficiency of studied technique. Error analysis tables are also given to demonstrate the accuracy of obtained results.
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Whitham-Broer-Kaup 耦合方程分数模型的计算分析
在本研究论文中,我们研究了一种求解非线性偏微分方程的半解析技术。该技术是同调分析方法与 Kharrat-Toma 变换的良好结合。此外,我们还介绍了利用所研究的技术对非线性分数耦合 Whitham-Broer-Kaup 方程进行数值求解的方法。Whitham-Broer-Kaup 模型被广泛用于研究重力作用下的海啸波动力学。使用正则化版本的 Hilfer-Prabhakar 分数导数对该问题进行建模。此外,还讨论了所考虑模型的一些定性属性、存在性和唯一性及其求解。还给出了误差分析表,以证明所获结果的准确性。
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来源期刊
alexandria engineering journal
alexandria engineering journal Engineering-General Engineering
CiteScore
11.20
自引率
4.40%
发文量
1015
审稿时长
43 days
期刊介绍: Alexandria Engineering Journal is an international journal devoted to publishing high quality papers in the field of engineering and applied science. Alexandria Engineering Journal is cited in the Engineering Information Services (EIS) and the Chemical Abstracts (CA). The papers published in Alexandria Engineering Journal are grouped into five sections, according to the following classification: • Mechanical, Production, Marine and Textile Engineering • Electrical Engineering, Computer Science and Nuclear Engineering • Civil and Architecture Engineering • Chemical Engineering and Applied Sciences • Environmental Engineering
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