再生核空间偏微分方程解析数值解  

ANALYTICAL NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATION IN REPRODUCING KERNEL SPACE

作　　者：吴勃英[1] 

机构地区：[1]哈尔滨工业大学数学系,哈尔滨150001

出　　处：《计算数学》2001年第2期231-238,共8页Mathematica Numerica Sinica

基　　金：国家和黑龙江省自然科学基金;哈尔滨工业大学校基金资助项目(HIT2000.01)

摘　　要：This paper gives a analytic solution of a boundary value problem of partial differential equation of the second order in the form of series on a reproducing kernel space H (D). This series solution possesses following characteristics:1. Truncating the series, the analytic numerical solution can be obtained. 2.when in creasing the number of the node, the error of the analytic numerical solution is monotone decreasing in the sense of the norm on HI(D) space.This paper gives a analytic solution of a boundary value problem of partial differential equation of the second order in the form of series on a reproducing kernel space H (D). This series solution possesses following characteristics:1. Truncating the series, the analytic numerical solution can be obtained. 2.when in creasing the number of the node, the error of the analytic numerical solution is monotone decreasing in the sense of the norm on HI(D) space.

关 键 词：再生核空间 边值问题 解析数值解 误差估计 偏微分方程 

分 类 号：O241[理学—计算数学]