论文标题

关于线性,延迟热部分微分方程的指数型溶液的注释

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

论文作者

Herron, Isom H., Mickens, Ronald E.

论文摘要

我们为线性,延迟的热方程构建了一类指数类型的解决方案。这些表示形式可用于为某些边界和/或初始值问题提供先验的ANSATZES。检查了表示形式的几个重要数学特性,包括讨论对延迟参数的依赖性。

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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