摘要
基于函数的泰勒级数展开构造了非均匀网格上求解一维对流扩散反应问题的高精度紧致差分格式.对于含边界层问题的求解,在边界层内的计算效果较均匀网格显著提高.数值实验表明,本文格式对于对流占优和计算区域含边界层问题都适用,具有高精度和高分辨率的特点.
A high accuracy compact of a finite different scheme on non-uniform grid for one dimensional convection-diffusion-reaction equation is proposed. Numerical results show that the present scheme has preferable properties of its high accuracy, high resolution for the large gradient changes of the unknown quantity, being well suitable for the boundary layer, etc.
出处
《宁夏师范学院学报》
2007年第6期6-10,68,共6页
Journal of Ningxia Normal University
关键词
一维对流扩散反应方程
高精度紧致差分格式
非均匀网格
边界层
One-dimensional convection-diffusion scheme
Non-uniform grid
Boundary layer equation
High accuracy compact of finite different
