对流扩散方程的一种高精度特征差分格式  

A Class of High Accuracy Characteristic Difference Method for Convection-Diffusion Equations

作　　者：黄素珍[1] 张鲁明[2] 

机构地区：[1]盐城工学院基础部,江苏盐城224003 [2]南京航空航天大学理学院,江苏南京210016

出　　处：《南京师大学报（自然科学版）》2005年第2期38-41,70,共5页Journal of Nanjing Normal University(Natural Science Edition)

摘　　要：根据已发展的二阶微商三次样条四阶逼近公式,提出了基于线性插值的求解对流扩散方程特征差分格式.通过Fourier方法讨论了文中格式的稳定性.数值结果表明,本文的格式明显优于基于线性插值的特征差分格式.A new kind of characteristic-difference scheme is proposed for solving convection-diffusion (equations) with the linear interpolation method.The method is based on the cubic-spline difference formulae of fourth-order accuracy for second order derivatives developed by the other authors.The stability of the characteristic-difference scheme is studied.Numerical results show that our method is better than that of the ordinary characteristic-difference scheme with linear interpolation method.

关 键 词：对流扩散方程 特征差分格式 线性插值 稳定性 高精度 

分 类 号：O241.8[理学—计算数学]