4.5 Article

Generalized Laplace-Type Transform Method for Solving Multilayer Diffusion Problems

期刊

JOURNAL OF FUNCTION SPACES
卷 2022, 期 -, 页码 -

出版社

HINDAWI LTD
DOI: 10.1155/2022/2304219

关键词

-

资金

  1. Academy of Scientific Research and Technology (ASRT), Egypt [6407]

向作者/读者索取更多资源

This article investigates the solvability of a one-dimensional nonhomogeneous multilayer diffusion problem using the M rho,m-transform. By reducing the problem into a sequence of one-layer diffusion problems and applying the M rho,m-transform, an explicit solution is obtained. The results are of general attractiveness and include previous works as special cases.
Multilayer diffusion problems have found significant importance that they arise in many medical, environmental, and industrial applications of heat and mass transfer. In this article, we study the solvability of a one-dimensional nonhomogeneous multilayer diffusion problem. A new generalized Laplace-type integral transform is used, namely, the M rho,m-transform. First, we reduce the nonhomogeneous multilayer diffusion problem into a sequence of one-layer diffusion problems including time-varying given functions, followed by solving a general nonhomogeneous one-layer diffusion problem via the M rho,m-transform. Hence, by means of general interface conditions, a renewal equations' system is determined. Finally, the M rho,m-transform and its analytic inverse are used to obtain an explicit solution to the renewal equations' system. Our results are of general attractiveness and comprise a number of previous works as special cases.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.5
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

暂无数据
暂无数据