Incremental unknowns method based on the θ-scheme for time-dependent convection–diffusion equations

Lunji Song and Yujiang Wu

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 7, 2001-2012

Abstract: A θ-scheme using two-level incremental unknowns is presented for solving time-dependent convection–diffusion equations in two-dimensional case. The IMG algorithm (Inertial Manifold–Multigrid algorithm) including the second-order incremental unknowns is convergent. The incremental unknowns method based on the θ-scheme needs a stability condition as 0≤θ<1/2 and is unconditionally stable as 1/2≤θ≤1. By the GMRES method in the iteration at each time step, numerical results of the convection–diffusion equations are investigated and confirm that oscillations can be controlled by the incremental unknowns method.

Keywords: 65N05; Incremental unknowns; θ-Scheme; Convection–diffusion equation (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:7:p:2001-2012

DOI: 10.1016/j.matcom.2008.08.001

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