| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5471043 | Applied Mathematical Modelling | 2017 | 15 Pages |
Abstract
The problem of heat conduction in one-dimensional piecewise homogeneous composite materials is examined by providing an explicit solution of the one-dimensional heat equation in each domain. The location of the interfaces is known, but neither temperature nor heat flux are prescribed there. We find a solution using the Unified Transform Method, due to Fokas and collaborators, applied to interface problems and compute solutions numerically.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Natalie E. Sheils,