Regularization for a fractional sideways heat equation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:255

Article

Li, Ming¹  Xi, Xiang-Xiang¹  Xiong, Xiang-Tuan² 

[1] Taiyuan Univ Technol, Coll Math, Taiyuan, Peoples R China

[2] Northwest Normal Univ, Dept Math, Lanzhou, Peoples R China

关键词: Fractional diffusion equation;    Ill-posedness;    Regularization;    Optimal error estimate;   

DOI  :  10.1016/j.cam.2013.04.035

来源: Elsevier

【 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.

【 授权许可】

Free