摘要
对于二维非线性对流扩散方程构造了沿特征线方向的多步有限体积元格式,关于空间采用二次有限体积元方法离散,关于时间采用多步法进行离散,获得了O(△t^2+h^2)形式的误差估计。本文最后给出的数值算例表明了方法的有效性。
A multistep finite volume element scheme along characteristics for two dimensional nonlinear convection diffusion equations is considered. The equations are discretized by quadratic finite volume element methods in space and by multistep methods in time. The error estimation which is O(△t^2+h^2) has been proved. A numerical example is given at the end to show the efficiency of the methods.
出处
《计算数学》
CSCD
北大核心
2004年第4期484-496,共13页
Mathematica Numerica Sinica
基金
国家重点基础研究专项经费(1999032803)
国家自然科学基金(10372052
10271066)
教育部博士点基金(20030422047)