计算机工程与应用2012，Vol.48Issue(21)：49-52,4.DOI:10.3778/j.issn.1002-8331.2012.21.011
一维对流扩散反应方程的高精度数值方法
High accuracy numerical method for solving 1D convection-diffusion-reaction equation
摘要
Abstract
By using an exponential function, the convection-difiusion-reaction equation is rewritten in the form of the convection-diffusion equation. Convection terms are discretized by fourth-order combined compact upwind schemes. Viscous terms are discretized by fourth-order compact symmetric finite difference scheme. The spatial semi-discretized equation is solved by fourth-order Runge-Kutta formula in time. A fourth-order compact upwind finite difference scheme with truncation error O(h4 + r4) is proposed for solving 1D unsteady convection-diffusion-reaction equation. Its excellent properties are proved by numerical examinations. The results show that the present scheme is applicable to convection dominant problems.关键词
高精度/有限差分/非线性/对流扩散反应方程/非定常Key words
high accuracy/ finite difference/ nonlinear/ convective-diffusion-reaction equation/ unsteady分类
数理科学引用本文复制引用
赵秉新,唐晓芬..一维对流扩散反应方程的高精度数值方法[J].计算机工程与应用,2012,48(21):49-52,4.基金项目
宁夏自然科学基金(No.NZ0938) （No.NZ0938）
2011宁夏高校科研基金资助项目. （）
