A new difference scheme with high accuracy and absolute stability for solving convection-diffusion equations

作者：Ding Hengfei^*; Zhang Yuxin

来源：Journal of Computational and Applied Mathematics, 2009, 230(2): 600-606.

DOI：10.1016/j.cam.2008.12.015

• Convection-diffusion equation
• Difference scheme
• High accuracy
• Toeplitz matrix
• Krylov subspace method

In this paper, we use a semi-discrete and a pade approximation method to propose a new difference scheme for solving convection-diffusion problems. The truncation error of the difference scheme is O(h(4) tau(5)). It is shown through analysis that the scheme is unconditionally stable. Numerical experiments are conducted to test its high accuracy and to compare it with Crank-Nicolson method.

• 出版日期2009-8-15
• 单位兰州大学; 天水师范学院