## Abstract Alternating direction implicit (ADI) schemes are computationally efficient and widely utilized for numerical approximation of the multidimensional parabolic equations. By using the discrete energy method, it is shown that the ADI solution is unconditionally convergent with the convergen
Compact ADI method for solving parabolic differential equations
β Scribed by Weizhong Dai; Raja Nassar
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 327 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0749-159X
- DOI
- 10.1002/num.1037
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π SIMILAR VOLUMES
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
## Abstract This paper is concerned with accurate and efficient numerical methods for solving parabolic differential equations. A compact locally oneβdimensional finite difference method is presented, which has secondβorder accuracy in time and fourthβorder accuracy in space with respect to discret