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

Autor:	Ni Wang, Fan Yang, Can-Yun Huang, Xiao-Xiao Li
Rok vydání:	2019
Předmět:	010101 applied mathematics Applied Mathematics Mathematical analysis Fractional diffusion Initial value problem 010103 numerical & computational mathematics 0101 mathematics 01 natural sciences Regularization (mathematics) Mathematics
Zdroj:	Journal of Inverse and Ill-posed Problems. 27:609-621
ISSN:	1569-3945 0928-0219
DOI:	10.1515/jiip-2018-0050
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::caf8f0b0d41a4b64d9427328065120b8 https://doi.org/10.1515/jiip-2018-0050 Zobrazit plný text záznamu