二维 Crank-Nicholson 差分格式及其稳定性  

TWO DIMENSIONAL CRANK NICHOLSON DIFFERENCE SCHEME AND ITS STABILITY

作　　者：卢玉蓉[1] 何永富[1] 蔡靖疆[1] 李建斌[1] 郑筠[2] 周洁[2] 

机构地区：[1]成都理工学院应用数学系 [2]四川科技职工大学

出　　处：《成都理工学院学报》1999年第1期64-65,共2页Journal of Chengdu University of Technology

摘　　要：利用积分插值法，把二维Ｃｒａｎｋ－Ｎｉｃｈｏｌｓｏｎ差分格式，由常系数推广到变系数情形。不仅导出了差分格式的截断误差，而且还应用能量估计法，详细论证了差分格式的绝对稳定性。该差分格式是一个精度高，稳定性好，便于应用的差分格式。This paper generalizes the two dimensional Crank Nicholson difference scheme from constant coefficient to the condition of variable coefficient with interpolation by integral. It not only derives truncation error of the difference scheme, but also proves absolute stability of the differecce scheme by the energy estimate method. This difference scheme is high accurate, good stable and applicable.

关 键 词：积分插值法 截断误差 能量估计法 C-N差分 

分 类 号：O241.82[理学—计算数学]