摘要
针对一维非线性对流扩散方程,构造了特征差分的两重网络算法,并给出了误差估计和数值算例。此方法是先在粗网格上计算非线性问题,再在细网格上计算线性问题,数值算例表明,在计算精度保持不变的情况下,此算法可以极大提高非线性对流扩散问题的计算效率。
A Two-grid scheme of characteristic difference solution for 1D nonlinear convection-dominated diffusion equation is constructed. The error estimates and numerical example are given. The scheme involve solving one small, nolinear problem on the coarse grid system, one linear problem on the fine grid system. The numerical example shows the new scheme is very efficiency to the nonlinear equations.
出处
《工程数学学报》
CSCD
北大核心
2003年第6期1-6,共6页
Chinese Journal of Engineering Mathematics
基金
陕西省教育厅自然科学基金资助项目(02JK048).
关键词
对流扩散方程
特征差分法
两重网格算法
convection diffusion equations
characteristic difference method
two-grid method
