A Second-Order ADI Scheme for Three-Dimensional Parabolic Differential Equations

Numerical Methods for Partial Differential Equations

Volumn 14, Issue 2, 1998, Pages 159-168

  Dai, W ^a   Nassar, R ^a  

^a Louisiana Tech University   (United States)

Author keywords

ADI scheme; Parabolic differential equation; Stability

Indexed keywords

EID: 0008820821     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-2426(199803)14:2<159::AID-NUM2>3.0.CO;2-N     Document Type: Article

References (7)

1. W. Dai and R. Nassar, "A generalized Douglas ADI scheme for solving parabolic differential equations on multilayers," Int. J. Numerical Method for Heat and Flow Fluid, to appear.
2. J. Dean and R. Glowinski, "On some finite element methods for the numerical simulation of incompressible viscous flow," in Incompressible Computational Fluid Dynamics, M. D. Gunzburger and R. A. Nicolaides, Eds., University Press, Cambridge, 1993.
3. J. C. Strikwerda, Finite Difference Schemes and Partial Differential Equations, Chapman & Hall, New York, 1989.
4. R. Glowinski, Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics, SIAM, Philadelphia, 1989.
5. P. Kloucek and F. S. Rys, "Stability of the fractional step θ-scheme for the nonstationary Navier-Stokes equations," SIAM J. Numer. Anal. 31, 303 (1994).
6. A. A. Samarskii and P. N. Vabishchevich, "Regularized difference schemes," MMCE 1, 44 (1994).
7. G. I. Marchuk, "Splitting and alternating direction methods," in Handbook of Numerical Analysis, P. G. Ciarlet and J. L. Lions, Eds., North-Holland, New York, 1989, Vol. 1, p. 197.