对流-扩散问题的特征──块中心差分法  

NUMERICAL METHODS FOR CONVECTION-DIFFUSIONPROBLEMS BASED ON COMBINING THE METHOD OFCHARACTERISTIC WITH BLOCK-CENTERED FINITEDIFFERENCE PROCEDURE

作　　者：王申林[1] 孙淑英[1] 

机构地区：[1]山东大学数学系

出　　处：《计算数学》1999年第4期463-474,共12页Mathematica Numerica Sinica

基　　金：山东省自然科学基金

摘　　要：We develop the characteristic block-centered finite difference method for nonlinear convection-diffusion problems in the rectangular domain. The discrete LZnorm errors of schemes in both the approximate solution and its first derivativesare second-order for all nonuniform girds.We develop the characteristic block-centered finite difference method for nonlinear convection-diffusion problems in the rectangular domain. The discrete LZnorm errors of schemes in both the approximate solution and its first derivativesare second-order for all nonuniform girds.

关 键 词：对流扩散问题 收敛性 特征-差分法 块中心差分法 

分 类 号：O241.82[理学—计算数学]