Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method

被引：0
作者：
S. Yeganeh
R. Mokhtari
J. S. Hesthaven
机构：
[1] Isfahan University of Technology,Department of Mathematical Sciences
[2] EPFL-SB-MATH-MCSS,undefined
[3] École Polytechnique Fédéral de Lausanne,undefined
来源：
BIT Numerical Mathematics | 2017年 / 57卷
关键词：
Inverse source problem; Fractional diffusion equation; Local discontinuous Galerkin method; 65M32; 65M60; 35R11;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is devoted to determining a space-dependent source term in an inverse problem of the time-fractional diffusion equation. We use a method based on a finite difference scheme in time and a local discontinuous Galerkin method in space and investigate the numerical stability and convergence of the proposed method. Finally, various numerical examples are used illustrate the effectiveness and accuracy of the method.
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页码：685 / 707
页数：22
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