重庆理工大学学报：自然科学2012，Vol.26Issue(7)：100-104,5.
求解一维对流扩散反应方程的高阶紧致格式
A High-order Compact Difference Scheme for Solving 1D Convection-Diffusion-Reaction Equation
摘要
Abstract
A fourth-order compact upwind finite difference scheme was proposed for solving 1 D unsteady convection-diffusion-reaction equation. By using an exponential function, the convection-diffu-sion-reaction equation was rewritten in the form of the convection-diffusion equation. Convection terms and diffusion terms were discretized by fourth-order compact upwind schemes and fourth-order compact symmetric schemes, respectively. Then, the spatial semi-discretized equation was solved by fourth-order Runge-Kutta formula in time. The truncation error of the present scheme is O（h^4＋τ^4）.Its excellent properties are proved by numerical examples in comparison with literature results.关键词
高精度/对流扩散反应方程/有限差分方法/非定常Key words
high-accuracy/convection-diffusion-reaction equation/finite difference method/unsteady分类
数学引用本文复制引用
赵秉新..求解一维对流扩散反应方程的高阶紧致格式[J].重庆理工大学学报：自然科学,2012,26(7):100-104,5.基金项目
宁夏自然科学基金资助项目 （）
2011宁夏高校科研基金资助项目 （）
