A note on exponential-type solutions for the linear, delayed heat partial differential equation
Analysis of PDEs
2020-06-26 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2006.14018,
title = {A note on exponential-type solutions for the linear, delayed heat partial differential equation},
author = {Isom H. Herron and Ronald E. Mickens},
journal= {arXiv preprint arXiv:2006.14018},
year = {2020}
}