# Explicit group methods in the solution of the 2-D convection-diffusion equations

Bee, Tan Kah, Ali, Norhashidah Hj. M. and Lai, Choi-Hong (2010) *Explicit group methods in the solution of the 2-D convection-diffusion equations.* In: WCE 2010 - World Congress on Engineering 2010. Newswood Ltd., Hong Kong, pp. 1799-1804. ISBN 9789881821089 ISSN 2078-0958 (Print), 2078-0966 (Online)

## 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 450 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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