Generalized alternating-direction collocation methods for parabolic equations. III. Nonrectangular domains
β Scribed by Michael A. Celia; George F. Pinder
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 521 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0749-159X
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## Abstract The alternatingβdirection collocation (ADC) method combines the attractive computational features of a collocation spatial approximation and an alternatingβdirection time marching algorithm. The result is a very efficient solution procedure for parabolic partial differential equations.
Alternating-direction solution procedures for parabolic partial differential equations can be developed using finite-difference, finite-element, and collocation approximations in space. Each of these methods derives from a common alternating-direction formulation. Furthermore, each method leads to a