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Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation with a heat source

机译:带热源的时滞传热方程和阻尼波方程解的比较

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摘要

In this article, we study the difference between the solutions of the phase-lagging equation (PLE), a new heat conduction equation, and the damped wave equation (DWE) with a heat source. The exact solution of the PLE is obtained using the Laplace transform method, and is approximated using an approximate analytical method when the time lag is small since the exact solution is practically not computable for the small time lag case. Results show that the DWE is a good approximation to the PLE when the time lag is small.
机译:在本文中,我们研究了相位滞后方程(PLE),新的热传导方程和带热源的阻尼波方程(DWE)的解之间的差异。 PLE的精确解是使用Laplace变换方法获得的,并且在时滞较小时可以使用近似分析方法进行近似,因为在小时滞情况下实际上无法计算出精确解。结果表明,当时滞较小时,DWE非常适合PLE。

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