Uniqueness and numerical scheme for the Robin coefficient identification of the time-fractional diffusion equation

被引：7

作者：

Wang, Jun-Gang ^{[1
]}

Ran, Yu-Hong ^{[2
]}

Yuan, Zhan-Bin ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Dept Appl Math, Xian, Shaanxi, Peoples R China

[2] Northwest Univ, Sch Math, Ctr Nonlinear Studies, Xian, Shaanxi, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 75卷 / 11期

关键词：

Inverse problem; Robin coefficient; Fractional diffusion equation; Uniqueness;

D O I：

10.1016/j.camwa.2018.03.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study an inverse problem of determining the Robin coefficient of fractional diffusion equation from a nonlocal boundary condition. Based on the property of Caputo fractional derivative, the uniqueness is proved. The numerical schemes for the direct problem and the inverse problem are developed. Three examples are given to show the effectiveness of the presented methods. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：4107 / 4114

页数：8

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