An Implicit Finite Difference Scheme with Preconditioning for Convection Dominated Diffusion Equation
DOI: 10.1109/CSO.2009.215 Conference: Proceedings of the Second International Joint Conference on Computational Sciences and Optimization, CSO 2009, Sanya, Hainan, China, 24-26 April 2009, Volume 2
An implicit finite difference scheme for solving time-dependent convection dominated diffusion equations in two space variables is presented. A one-sided difference approximation is used for the convection terms and a second-order central difference approximation for the diffusion term. The implicit scheme is consistent, unconditionally stable and itpsilas L2 error estimation is optimal. By preconditioning technique of incremental unknowns, the implicit scheme is an efficient one.
Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed. The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual current impact factor. Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence agreement may be applicable.