A Backward Identification Problem for an Axis-Symmetric Fractional Diffusion Equation

Autor:	Xiangtuan Xiong, Xiaojun Ma
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	ill-posedness regularization fractional diffusion equation closed form solution Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 22, Iss 3 (2017)
Druh dokumentu:	article
ISSN:	13926292 1392-6292 1648-3510
DOI:	10.3846/13926292.2017.1309329
Popis:	We consider a backward ill-posed problem for an axis-symmetric fractional diffusion equation which is described in polar coordinates. A closed form solution of the inverse problem is obtained. However, this solution blows up. For numerical stability, a general regularization principle is presented for constructing regularization methods. Several numerical examples are conducted for showing the validity and effectiveness of the proposed methods.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e09a82fdcab6497da66f1f4ff6bd6a78 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF