摘要
研究了形如 ∫t0 H (t,τ) f (τ) dτ=g(t)一类积分方程的数值求解。从讨论病态性质入手 ,基于吉洪诺夫的正则化思想 ,构造了正则化算子 ,从而给出了求解这类积分方程稳定的数值方法 。
In this paper, we have studied numerical solution of a class of intergral eguation as following ∫ t 0H(t,τ)f(τ) d τ=g(t) First,the ill posedness of this problem has been considered. Second,numerical method based on Tikhonov regularization is described by our. Finally, some examples and applications are included.
出处
《工程数学学报》
CSCD
北大核心
2001年第1期24-32,共9页
Chinese Journal of Engineering Mathematics
