您的位置:首页  > 论文页面

关于具Robin边值的反向热传导问题的

发表时间:2010-01-15  浏览量:1673  下载量:607
全部作者: 张卫华,冯晓莉,傅初黎
作者单位: 兰州大学数学与统计学院
摘 要: 研究了一个具Robin边值的反向热传导问题,通过测量数据u(x, T)来反演u(x, 0)。这是一类严重的不适定问题,数据h(x)的微小扰动就会引起解的巨大变化,使其数据的实现极为困难,因此需要一些正则化方法。这里用一种改进的Tikhonov正则化方法处理该问题,并建立了精确解和正则化近似解之间的误差估计,数值试验表明该方法是有效的。
关 键 词: 偏微分方程数值解;不适定问题;Tikhonov正则化;反向热传导;Robin边值
Title: A modified Tikhonov regularization method for a backward heat equation with Robin boundary conditions
Author: ZHANG Weihua, FENG Xiaoli, FU Chuli
Organization: School of Mathematics and Statistics, Lanzhou University
Abstract: In this paper, a backward heat equation with Robin boundary conditions is considered. u(x, 0) is recovered from the measured data u(x,T). This is a severely ill-posed problem, a small error on h(x) can cause a large error on the solution, so the numerical implementation of this problem is very difficult. So, some effective regularization methods are needed for this problem. Here, a modified Tikhonov regularization method is used to deal with this problem. The error estimation between the exact solution and its approximation is given. Numerical experiment shows that this method is effective.
Key words: numerical solution of partial differential equation; ill-posed problem; Tikhonov regularization; backward heat conduction; Robin boundary
发表期数: 2010年1月第1期
引用格式: 张卫华,冯晓莉,傅初黎. 关于具Robin边值的反向热传导问题的[J]. 中国科技论文在线精品论文,2010,3(1):1-8.
 
0 评论数 0
暂无评论
友情链接