Regularization for a fractional sideways heat equation

被引：15
|
作者：
Li, Ming [1 ]
Xi, Xiang-Xiang [1 ]
Xiong, Xiang-Tuan [2 ]
机构：
[1] Taiyuan Univ Technol, Coll Math, Taiyuan, Peoples R China
[2] Northwest Normal Univ, Dept Math, Lanzhou, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2014年 / 255卷
基金：
高等学校博士学科点专项科研基金; 中国国家自然科学基金;
关键词：
Fractional diffusion equation; Ill-posedness; Regularization; Optimal error estimate; FUNDAMENTAL SOLUTION; CONDUCTION PROBLEM; DIFFUSION; DISPERSION; MODEL;
D O I：
10.1016/j.cam.2013.04.035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a sideways problem for a fractional heat equation which is highly ill-posed. This study gives a new dynamic method for choosing a regularization parameter. By using the spectral methods, some convergence rates on the temperature and heat flow are given. For illustration, several numerical examples are constructed to show the feasibility and efficiency of the proposed methods. Comparing with the traditional stationary methods for choosing regularization parameter, the proposal methods are more accurate and effective. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：28 / 43
页数：16
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