Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707914 | Applied Mathematics Letters | 2014 | 5 Pages |
Abstract
The classical problem of heat conduction in one dimension on a composite ring is examined. The problem is formulated using the heat equation with periodic boundary conditions. We provide an explicit solution of this problem using the Method of Fokas. The location of the interfaces is known, but neither temperature nor heat flux are prescribed there. Instead, the physical assumption of continuity at the interface is imposed.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Natalie E. Sheils, Bernard Deconinck,