RECOVERING A SPACE-DEPENDENT SOURCE TERM IN A TIME-FRACTIONAL DIFFUSION WAVE EQUATION

被引：6

作者：

Wei, Ting ^{[1
]}

Yan, Xiongbin ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730030, Gansu, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2019年 / 9卷 / 05期

关键词：

Inverse source problem; Tikhonov regularization; conjugate gradient algorithm; INVERSE SOURCE PROBLEM; FINITE-ELEMENT-METHOD; DIFFERENCE SCHEME;

D O I：

10.11948/20180318

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is concerned with identifying a space-dependent source function from noisy final time measured data in a time-fractional diffusion wave equation by a variational regularization approach. We provide a regularity of direct problem as well as the existence and uniqueness of adjoint problem. The uniqueness of the inverse source problem is discussed. Using the Tikhonov regularization method, the inverse source problem is formulated into a variational problem and a conjugate gradient algorithm is proposed to solve it. The efficiency and robust of the proposed method are supported by some numerical experiments.

引用

页码：1801 / 1821

页数：21

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