The alternating group explicit parallel algorithms for convection dominated diffusion problem of variable coefficient

Abstract

A new alternating group explicit method for solving convection dominated diffusion problem of variable coefficient is presented, and the energy method is used to prove the stability of the method.

Keywords:

• Parallel algorithms
• Alternating group explicit
• Variable coefficient
• Convection-dominated diffusion problem

Acknowledgements

The author is grateful to Prof. Yuan Yirang for his many helpful suggestions and guidance. This project is supported by K. C. Wong Education Foundation, Hong Kong, Chinese National Postdoctoral Science Foundation and CX8-0314 of IAP, the Chinese Academy of Sciences.