Quasi-reversibility and truncation methods to solve a Cauchy problem for the modified Helmholtz equation

In this paper, the Cauchy problem for the modified Helmholtz equation in a rectangular domain is investigated. We use a quasi-reversibility method and a truncation method to solve it and present convergence estimates under two different a priori boundedness assumptions for the exact solution. The numerical results show that our proposed numerical methods work effectively.

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Year of publication:	2009
Authors:	Qin, Hai-Hua ; Wei, Ting
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 80.2009, 2, p. 352-366
Publisher:	Elsevier
Subject:	Cauchy problem \| Modified Helmholtz equation \| Quasi-reversibility method \| Truncation method \| Convergence estimates

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10010870579