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.
出处
《计算数学》
CSCD
北大核心
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)
