An economical difference scheme for heat transport equation at the microscale
An economical difference scheme for heat transport equation at the microscale
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DOI：
10.1002/num.20014
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发表时间：
2004-11
影响因子：
3.9
通讯作者：
Zhiyue Zhang
中科院分区：
文献类型：
--
作者：
Zhiyue Zhang
微尺度上的热传递在微技术应用中是至关重要的。在这篇文章中，我们提出了一种新的微尺度热输运方程的Crank-Nicholson型ADI格式。结果表明，在H1范数下，该格式在时间和空间上都是二阶精度。数值结果表明，理论分析是正确的，方案是有效的。#2004威利期刊股份有限公司Numer方法偏微分式，2004
Heat transport at the microscale is of vital importance in microtechnology applications. In this article, we proposed a new ADI difference scheme of the Crank‐Nicholson type for heat transport equation at the microscale. It is shown that the scheme is second order accurate in time and in space in the H1 norm. Numerical result implies that the theoretical analysis is correct and the scheme is effective. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2004