Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation

In this article, we are concerned with the analysis on the numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation. This ill-posed problem is solved through a stabilized nonlinear minimization system by an appropriately selected Tikhonov regulariz...

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Bibliographic Details
Published in:	Advances in computational mathematics Vol. 46; no. 3
Main Authors:	Jiang, Daijun, Liu, Yikan, Wang, Dongling
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.06.2020 Springer Nature B.V
Subjects:	Algorithms Computational mathematics Computational Mathematics and Numerical Analysis Computational Science and Engineering Ill posed problems Iterative methods Mathematical and Computational Biology Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Optimization Reconstruction Regularization Visualization Finite element method 41A35 Inverse source problem 35R11 Iterative thresholding algorithm Time-fractional diffusion equation 65M32
ISSN:	1019-7168, 1572-9044
Online Access:	Get full text
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