二维非定常对流扩散方程的高精度紧致半显式差分格  

A High-order Compact Semi-explicit Difference Method for Solving Two-dimensional Unsteady Convection Diffusion Equation

作　　者：丁晓燕[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《宁夏师范学院学报》2013年第6期30-37,共8页Journal of Ningxia Normal University

摘　　要：在已有文献的基础上,发展了一种求解二维非定常对流扩散方程的高精度紧致半显式差分格式,其截断误差为O(τ2+h4),该格式形式上是隐式,但实际上可以显式计算.利用Fourier分析法证明该格式是无条件稳定的.数值实验结果验证了该格式的精确性和可靠性.On the existing reference, a high - order compact semi - explicit difference method which is implicit in shape and explicit in aspect of computation, has been developed for solving two - dimensional unsteady convection diffusion equation on uni- form grid in this paper. The truncation errors are 0（^-2 ＋ h4） and it is proved to be unconditionally stability by Fourier analysis. The efficiency and reliability of the present method is also verified by results of numerical experiments.

关 键 词：非定常对流扩散方程 半显式格式 无条件稳定 高精度 

分 类 号：O241.82[理学—计算数学]