Some filter regularization methods for a backward heat conduction problem

Autor:	Ting Wei, Hai-Hua Qin
Rok vydání:	2011
Předmět:	Computational Mathematics Numerical linear algebra Mathematical optimization Exact solutions in general relativity Applied Mathematics Numerical analysis Applied mathematics computer.software_genre Thermal conduction Regularization (mathematics) computer Numerical stability Mathematics
Zdroj:	Applied Mathematics and Computation. 217:10317-10327
ISSN:	0096-3003
DOI:	10.1016/j.amc.2011.05.038
Popis:	In this paper, a one-dimensional backward heat conduction problem is investigated. It is well known that such problem is ill-posed. Some filter regularization methods are used to solve it. Convergence estimates under two a-priori bound assumptions for the exact solution are given based on the conditional stabilities. Finally, numerical examples are given to show that our used numerical methods are effective and stable.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b10a39546006549f368e91e9d03e6fd5 https://doi.org/10.1016/j.amc.2011.05.038 Zobrazit plný text záznamu Full Text from ScienceDirect