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A finite difference scheme for solving the heat transport equation at the microscale

✍ Scribed by Weizhong Dai; Raja Nassar

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 134 KB
Volume: 15
Category: Article
ISSN: 0749-159X
DOI: 10.1002/(sici)1098-2426(199911)15:6<697::aid-num6>3.0.co;2-#

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✦ Synopsis

Heat transport at the microscale is of vital importance in microtechnology applications. In this study, we develop a finite difference scheme of the Crank-Nicholson type by introducing an intermediate function for the heat transport equation at the microscale. It is shown by the discrete energy method that the scheme is unconditionally stable. Numerical results show that the solution is accurate.

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