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First-, second-, and third-order finite-volume schemes for diffusion

✍ Scribed by Nishikawa, Hiroaki


Book ID
121306217
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
622 KB
Volume
256
Category
Article
ISSN
0021-9991

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A first-order system approach for diffus
✍ Hiroaki Nishikawa πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 588 KB

In this paper, we embark on a new strategy for computing the steady state solution of the diffusion equation. The new strategy is to solve an equivalent first-order hyperbolic system instead of the second-order diffusion equation, introducing solution gradients as additional unknowns. We show that s