Alternating group explicit method with exponential-type for the diffusion–convection equation

Abstract

Based on the semi-explicit asymmetric exponential schemes constructed by the author, a new alternating group explicit (AGE) method with exponential-type for the numerical solution of the convection–diffusion equation is derived in the paper. The method has the obvious property of parallelism and is unconditionally stable. The results of numerical examples are given to show the effectiveness of the present methods that are in preference to the Evans and Abdullah' method in [Evans, D.J. and Abdullah, A.R., 1985, A new explicit method for the diffusion–convection equation. Computers & Mathematics with Application, 11, 145–154].

Keywords:

• Diffusion–convection equation
• Alternating group explicit method
• Exponential-type

Acknowledgements

The project was jointly supported by the National Natural Science Foundation of China under grant Nos. 19702008 and 10502026, the Teaching and Research Awarded Program for Outstanding Young Teachers in Higher Education Institutions of MOE, People's Republic of China and the Science Research Foundation of Ningxia University.