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High accuracy stable numerical solution of 1D microscale heat transport equation

โœ Scribed by Zhang, Jun ;Zhao, Jennifer J.


Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
112 KB
Volume
17
Category
Article
ISSN
1069-8299

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Unconditionally Stable Finite Difference
โœ Jun Zhang; Jennifer J. Zhao ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 105 KB

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