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arXiv · 2006.14018

A note on exponential-type solutions for the linear, delayed heat partial differential equation

Isom H. Herron·Ronald E. Mickens
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Abstract

We construct a class of exponential type solutions for the linear, delayed heat equation. These representations may be used to provide a priori ansatzes for certain boundary and/or initial-value problems arising in heat transfer. Several of the important mathematical properties of the representations are examined, including a discussion of the dependence on the delay parameter.

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Isom H. Herron, Ronald E. Mickens. 2020-06-24. A note on exponential-type solutions for the linear, delayed heat partial differential equation. https://arxiv.org/abs/2006.14018

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