摘要
非线性Ｓｏｂｏｌｅｖ方程的特征－差分方法由同顺（南开大学）ＴＨＥＣＨＡＲＡＣＴＥＲＩＳＴＩＣＤＩＦＦＥＲＥＮＣＥＭＥＴＨＯＤＦＯＲＡＮＯＮＬＩＮＥＡＲＳＯＢＯＬＥＶＥＱＵＡＴＩＯＮ￥ＹｏｕＴｏｎｇ－ｓｈｕｎ（ＮａｎｋａｉＵｎｉｖｅｒｓｉｔｙ）Ａｂｓｔ...
Abstract uThe characteristic difference methods for nonlinear Sobolev equation c(x, u) +t d(x, u). (a(x, u)u+b(x, u) ) = f(x, u) are considered. The characteristic difference schemes based on quadratic triangular or fully quadratic rectangular interpolation are established. For two cases of coefficients a(x, u) and b(x, u) having different lower bounds, the error estimates of these schemes are given.
出处
《计算数学》
CSCD
北大核心
1995年第1期13-27,共15页
Mathematica Numerica Sinica
基金
国家自然科学基金
攀登计划资助
