摘要
利用Tikhonov正则化方法求解圆环域上Laplace方程Cauchy问题,提出了利用Morozov相容性原理确定正则化参数的改进模型函数方法,并给出了迭代算法。数值算例验证了该方法的有效性。
The Tikhonov regularization method was utilized to solve the Cauchy problem of Laplace e-quation on annular domain.An improved model function method based on Morozov discrepancy prin-ciple was proposed to determine the regularization parameter,and an iterative algorithm was presen-ted.Numerical examples verify the effectiveness of the proposed method.
作者
祝志栋
石红岩
时秀娟
ZHU Zhidong;SHI Hongyan;SHI Xiujuan(Department of Mathematics,Yang’en University,362014,Quanzhou,Fujian,PRC)
出处
《江西科学》
2023年第5期825-830,共6页
Jiangxi Science
基金
2021年福建省中青年教师教育科研项目(科技类)(JAT210498)。
