A higher-order alternating group explicit scheme for the diffusion equation

Abstract

In this paper, a higher-order alternating group explicit scheme for the diffusion equation is developed. The scheme has fourth-order truncation error approximately. The numerical simulations show that the new scheme can provide more accurate solutions. A discussion on the numerical stability of the scheme is also included.

Keywords:

• Explicit type method
• Alternating group explicit method (AGE)
• Diffusion equation

Acknowledgements

The work is supported by Tianjin Municipal Education Commission, China (No. 20021302).