Explicit Group Methods in the Solution of the 2 - D Convection - Diffusion Equations

Abstract

In this paper, we present the four points Explicit Group (EG) and Explicit Decoupled Group (EDG) schemes for solving the two dimensional convection-diffusion equation with initial and Dirichlet boundary conditions. The EG method is derived from the centred difference approximation whilst EDG is derived from the rotated difference operator expressed in coordinates rotated 45 with respect to the standard mesh. These new formulations are shown to be unconditionally stable and the robustness of these new formulations over the existing point Crank-Nicolson scheme demonstrated through numerical experiments.

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Cite this paper

@inproceedings{Bee2010ExplicitGM, title={Explicit Group Methods in the Solution of the 2 - D Convection - Diffusion Equations}, author={Tan Kah Bee and Norhashidah Hj . M . Ali and Choi H. Lai}, year={2010} }