抛物型偏微分方程的变步长显式差分解法  

Variable step explicit difference method for parabolic partial differential equations

作　　者：秦学志[1] 年四洪[1] 刘慧[1] 罗远诠[1] 

机构地区：[1]大连理工大学应用数学系

出　　处：《大连理工大学学报》1996年第6期651-656,共6页Journal of Dalian University of Technology

摘　　要：给出一种求解抛物型偏微分方程的变步长显式差分解法，并证明了其收敛性及稳定性．The authors present a new method called variable step explicit difference method for solving parabolic partial differential equations, and it is proved that this method is convergent and stable. The authors can obtain much larger average step than the classical explicit difference method by means of this method.

关 键 词：偏微分方程 内积 差分法 收敛 抛物型方程 

分 类 号：O241.82[理学—计算数学]