The quasi-boundary value regularization method for identifying the initial value with discrete random noise
Abstract In this paper, we study an inverse initial value problem for the fractional diffusion equation with discrete noise. This problem is ill-posed in the sense of Hadamard. We apply the trigonometric method in a nonparametric regression associated with the quasi-boundary value regularization met...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2018-07-01
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Series: | Boundary Value Problems |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13661-018-1030-y |