Applications of New Double Integral Transform (Laplace–Sumudu Transform) in Mathematical Physics

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2021-03-01 DOI:10.1155/2021/6625247

Shams A. Ahmed

引用次数: 4

Abstract

The primary purpose of this research is to demonstrate an efficient replacement of double transform called the double Laplace–Sumudu transform (DLST) and prove some related theorems of the new double transform. Also, we will discuss the fundamental properties of the double Laplace–Sumudu transform of some basic functions. Then, by utilizing those outcomes, we will apply it to the partial differential equations to show its simplicity, efficiency, and high accuracy.

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新的二重积分变换（拉普拉斯-苏木都变换）在数学物理中的应用

本研究的主要目的是证明一种有效的双变换替代方法，称为双拉普拉斯-苏姆杜变换（DLST），并证明新的双变换的一些相关定理。此外，我们还将讨论一些基本函数的二重拉普拉斯-苏姆杜变换的基本性质。然后，通过利用这些结果，我们将其应用于偏微分方程，以显示其简单、高效和高精度。

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

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.