Generalized Laplace-Type Transform Method for Solving Multilayer Diffusion Problems
Journal of Function Spaces
; 2022, 2022.
Article
in English
| ProQuest Central | ID: covidwho-1752929
ABSTRACT
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 Mρ,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 Mρ,m-transform. Hence, by means of general interface conditions, a renewal equations’ system is determined. Finally, the Mρ,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.
Full text:
Available
Collection:
Databases of international organizations
Database:
ProQuest Central
Language:
English
Journal:
Journal of Function Spaces
Year:
2022
Document Type:
Article
Similar
MEDLINE
...
LILACS
LIS