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...

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Bibliographic Details
Main Authors: Fan Yang, Yan Zhang, Xiao-Xiao Li, Can-Yun Huang
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-1030-y