Two regularization methods for the Cauchy problems of the Helmholtz equation

Autor:	Hai-Hua Qin, Ting Wei
Rok vydání:	2010
Předmět:	Cauchy problem Cauchy's convergence test Exact solutions in general relativity Helmholtz equation Modeling and Simulation Bounded function Numerical analysis Modelling and Simulation Applied Mathematics Mathematical analysis Cauchy distribution Regularization (mathematics) Mathematics
Zdroj:	Applied Mathematical Modelling. 34(4):947-967
ISSN:	0307-904X
DOI:	10.1016/j.apm.2009.07.008
Popis:	In this paper, the Cauchy problems for the Helmholtz equation are investigated. We propose two regularization methods to solve them. Convergence estimates are presented under an a-priori bounded assumption for the exact solution. Finally, the numerical examples show that the proposed numerical methods work effectively.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::41087b70d8c285481de4d33962f1a597 Zobrazit plný text záznamu Full Text from ScienceDirect