Abstract
A map from the initial conditions to the function and its first spatial derivative evaluated at the interface is constructed for the heat equation on finite and infinite domains with n interfaces. The existence of this map allows changing the problem at hand from an interface problem to a boundary value problem which allows for an alternative to the approach of finding a closed-form solution to the interface problem.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 140-154 |
| Number of pages | 15 |
| Journal | Studies in Applied Mathematics |
| Volume | 137 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jul 1 2016 |
Bibliographical note
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