A Generalized Peaceman–Rachford ADI Scheme for Solving Two-Dimensional Parabolic Differential Equations
✍ Scribed by Weizhong Dai
- Book ID
- 111552224
- Publisher
- Springer US
- Year
- 1997
- Tongue
- English
- Weight
- 327 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0885-7474
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📜 SIMILAR VOLUMES
A general formulation of an alternating direction implicit (ADI) method was derived by extending Peaceman and Rachford scheme from two-dimensions to a Ndimensional space (N \_> 2). The von Neumann stability analysis was performed to obtain a simple explicit stability criterion which takes a general
A second-order unconditionally stable ADI scheme has been developed for solving three-dimensional parabolic equations. This scheme reduces three-dimensional problems to a succession of one-dimensional problems. Further, the scheme is suitable for simulating fast transient phenomena. Numerical exampl