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

Authors:
Hengfei Ding;Yuxin Zhang
Affiliations:
School of Mathematics and Statistics,Tianshui Normal University, Tianshui 741001, PR China;School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 4
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Abstract

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+@t^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.