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A quasi-boundary regularization method for identifying the initial value of time-fractional diffusion equation on spherically symmetric domain

  • Fan Yang EMAIL logo , Ni Wang , Xiao-Xiao Li and Can-Yun Huang
Published/Copyright: January 30, 2019

Abstract

In this paper, an inverse problem to identify the initial value for high dimension time fractional diffusion equation on spherically symmetric domain is considered. This problem is ill-posed in the sense of Hadamard, so the quasi-boundary regularization method is proposed to solve the problem. The convergence estimates between the regularization solution and the exact solution are presented under the a priori and a posteriori regularization parameter choice rules. Numerical examples are provided to show the effectiveness and stability of the proposed method.

MSC 2010: 35R25; 47A52; 35R30

Award Identifier / Grant number: 11561045

Award Identifier / Grant number: 11501272

Funding statement: The project is supported by the National Natural Science Foundation of China (No. 11561045, No. 11501272), and the Doctor Fund of Lan Zhou University of Technology.

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Received: 2018-01-29
Revised: 2018-09-18
Accepted: 2018-11-27
Published Online: 2019-01-30
Published in Print: 2019-10-01

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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