Inverse source problem for time fractional diffusion with discrete random noise

Tuan Nguyen Huy; Erkan Nane

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arXiv · 1606.06371

Inverse source problem for time fractional diffusion with discrete random noise

Tuan Nguyen Huy·Erkan Nane

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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 instable solution, we use the trigonometric method in nonparametric regression associated with the truncated expansion method. We also investigate the convergence rate.

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BibTeX RIS

Tuan Nguyen Huy, Erkan Nane. 2016-06-21. Inverse source problem for time fractional diffusion with discrete random noise. https://arxiv.org/abs/1606.06371

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