Optimization method for determining the source term in fractional diffusion equation

被引：9
|
作者：
Ma, Yong-Ki [1 ]
Prakash, P. [2 ]
Deiveegan, A. [2 ]
机构：
[1] Kongiu Natl Univ, Dept Appl Math, Chungcheongnam Do 32588, South Korea
[2] Periyar Univ, Dept Math, Salem 636011, India
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2019年 / 155卷
基金：
新加坡国家研究基金会;
关键词：
Inverse problem; Source term; Fractional diffusion equation; Regularization; Optimal control;
D O I：
10.1016/j.matcom.2018.03.003
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we determine a spacewise dependent source in one-dimensional fractional diffusion equation. On the basis of the optimal control method, the existence, uniqueness and stability of the minimizer for the cost functional are established. The Landweber iteration method is applied to the inverse problem. (C) 2018 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：168 / 176
页数：9
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