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Fourth-order finite difference simulation of a differentially heated cavity

✍ Scribed by Hans Johnston; Robert Krasny

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
91 KB
Volume
40
Category
Article
ISSN
0271-2091

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A fourth-order finite-difference method
A fourth-order finite-difference method for solving the system of two-dimensional Burgers' equations
✍ Wenyuan Liao 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 663 KB

## Abstract A fourth‐order compact finite‐difference method is proposed in this paper to solve the system of two‐dimensional Burgers' equations. The new method is based on the two‐dimensional Hopf–Cole trans‐formation, which transforms the system of two‐dimensional Burgers' equations into a linear