对流扩散方程的本质非振荡特征差分方法  

The Essentially Non oscillatory Characteristic Difference Method for Convection diffusion Equation

作　　者：由同顺[1] 

机构地区：[1]南开大学数学院,天津300071

出　　处：《应用数学》2000年第4期89-94,共6页Mathematica Applicata

摘　　要：本文把特征差分法 [1 ]和本质非振荡插值 [3]相结合 ,提出了对流扩散方程的本质非振荡特征差分格式 ,避免了基于 Lagrange插值特征差分格式在求解解具有大梯度问题时所产生的非物理振荡 。Trough blending characteristic difference method[1] with the essentially non oscillatory interpolation[3], the essentially non oscillatory characteristic difference scheme is proposed for convection diffusion problem in the paper. The new scheme is free from the non physical oscillation, with which the great derevitive problem is solved by the characteristic difference scheme in [1] and [2]. The strict error analyses for the new scheme one give and the numerical examples are also presented in the paper.

关 键 词：对流扩散方程 本质非振荡插值 特征差分法 误差估计 

分 类 号：O241.82[理学—计算数学]