二维耦合Burgers方程的G -二重拉普拉斯变换解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-10-12 DOI:10.1155/2023/4320612

Reem K. Alhefthi, Hassan Eltayeb

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引用次数: 0

摘要

二维耦合Burgers方程是一个基本的偏微分方程，在许多科学领域具有广泛的相关性。获得这个方程的精确解是一个关键的努力，培养对物理现象和数学模型的全面理解。在这篇文章中，我们强调了G -二重拉普拉斯变换的重要意义，它是一个变革性的数学工具。利用这一创新技术，我们提供了可靠和精确的解决方案，解决了耦合Burgers方程的齐次和非齐次变体。这种方法不仅提供了可靠性，而且作为一种宝贵的工具，可以更深入地研究方程的复杂行为及其在不同学科领域的深远影响。

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The Solution of Two-Dimensional Coupled Burgers’ Equation by

G

-Double Laplace Transform

The two-dimensional coupled Burgers’ equation, a foundational partial differential equation, boasts widespread relevance across numerous scientific domains. Attaining precise solutions to this equation stands as a pivotal endeavor, fostering a comprehensive understanding of both physical phenomena and mathematical models. In this article, we underscore the paramount significance of the

G

-double Laplace transform, a transformative mathematical tool. Leveraging this innovative technique, we furnish dependable and exact solutions, addressing both homogeneous and nonhomogeneous variants of the coupled Burgers’ equations. This approach not only delivers reliability but also serves as an invaluable instrument for delving deeper into the equation’s intricate behavior and its profound implications across diverse disciplinary landscapes.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.