摘要
本文采用近似已知函数稳定求导方法与两点复合Gauss-Legendre求积公式相结合求Abel型积分方程数值解,其结果是数值稳定且精度较高.给出了数值例子.
In this paper we combine a stable approximate differentiation of approximately specified functions and composite Gauss-Legendre rule to obtain the numerical solution of Abel＇s integral equation. Our result is stable and more accuracy. Numerical experiments are presented. Keywords： Ill-posed problems, regularization methods, Abel＇s integral equation
出处
《计算数学》
CSCD
北大核心
2008年第1期17-24,共8页
Mathematica Numerica Sinica
基金
江西省教育厅科技基金(2007293)
江西省自然科学基金(0611005)
