求解正则和奇异可合分数阶耦合伯格方程的新方法

Q3 Mathematics

WSEAS Transactions on Mathematics Pub Date : 2023-05-09 DOI:10.37394/23206.2023.22.36

A. Hamza, Abdelilah K. Sedeeg, Rania Saadeh, Ahmad Mohammad Qazza, Raed Khalil

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引用次数: 0

摘要

本文提出了保形二重ARA分解方法来求解一维正则和奇异保形泛函Burger方程。我们研究了保形双ARA变换的定义、存在性要求和一些基本性质。在这项研究中，我们引入了一种新的有趣的方法，将双ARA变换与Adomian分解方法相结合，以找到一些非线性分式问题的精确解。此外，我们使用新的方法来求解正则和奇异保形分数耦合系统的Burgers方程。我们还提供了几个例子来证明当前研究的有用性。Mathematica软件已被用于获得数值结果。

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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A New Approach in Solving Regular and Singular Conformable Fractional Coupled Burger’s Equations

The conformable double ARA decomposition approach is presented in this current study to solve one-dimensional regular and singular conformable functional Burger's equations. We investigate the conformable double ARA transform's definition, existence requirements, and some basic properties. In this study, we introduce a novel interesting method that combines the double ARA transform with Adomian’s decomposition method, in order to find the precise solutions of some nonlinear fractional problems. Moreover, we use the new approach to solve Burgers' equations for both regular and singular conformable fractional coupled systems. We also provide several instances to demonstrate the usefulness of the current study. Mathematica software has been used to get numerical results.

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来源期刊

WSEAS Transactions on Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.