Fourier truncation method for an inverse source problem for space-time fractional diffusion equation
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Date
2017-05-04
Authors
Tuan, Nguyen Huy
Long, Le Dinh
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we study an inverse problem to determine an unknown source term in a space time fractional diffusion equation, whereby the data are obtained at a certain time. In general, this problem is ill-posed in the sense of Hadamard, so the Fourier truncation method is proposed to solve the problem. In the theoretical results, we propose a priori and a posteriori parameter choice rules and analyze them.
Description
Keywords
Fractional diffusion equation, Cauchy problem, Ill-posed problem, Convergence estimates
Citation
Tuan, N. H., & Long, L. D. (2017). Fourier truncation method for an inverse source problem for space-time fractional diffusion equation. <i>Electronic Journal of Differential Equations, 2017</i>(122), pp. 1-16.
Rights
Attribution 4.0 International