Inverse source problem for time-fractional diffusion with discrete random noise

Nguyen Huy Tuan and Erkan Nane

Statistics & Probability Letters, 2017, vol. 120, issue C, 126-134

Abstract: In this paper, we deal with the inverse source problem of determining a source in a time-fractional diffusion equation where data are given at a fixed time. This problem is ill-posed, i.e., the solution does not depend continuously on the data. To regularize the unstable solution, we use the trigonometric method in nonparametric regression associated with the truncated expansion method. We also investigate the convergence rate.

Keywords: Inverse problem; Time fractional diffusion; Random approximation (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2016.09.026

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