Inverse source problem for time fractional diffusion with discrete random noise
Probability
2016-11-29 v1 Mathematical Physics
Analysis of PDEs
math.MP
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.
Cite
@article{arxiv.1606.06371,
title = {Inverse source problem for time fractional diffusion with discrete random noise},
author = {Tuan Nguyen Huy and Erkan Nane},
journal= {arXiv preprint arXiv:1606.06371},
year = {2016}
}
Comments
12 Pages, submitted for publication