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 meth
An economical difference scheme for heat transport equation at the microscale
β Scribed by Zhiyue Zhang
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 93 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0749-159X
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π SIMILAR VOLUMES
A two-dimensional time-dependent heat transport equation at the microscale is derived. A second order finite difference scheme in both time and space is introduced and the unconditional stability of the finite difference scheme is proved. A computational procedure is designed to solve the discretize
## Abstract Heat transport at the microscale is of vital importance in microtechnology applications. The heat transport equation is different from the traditional heat diffusion equation since a secondβorder derivative of temperature with respect to time and a thirdβorder mixed derivative of temper