Spectral regularization methods for solving a sideways parabolic equation within the framework of regularization theory

We introduce three spectral regularization methods for solving a general sideways parabolic equation. For these three spectral regularization methods, we give some stability error estimates with optimal order under a-priori and a-posteriori regularization parameter choice rules. Numerical results show that these spectral methods are effective.

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Year of publication:	2009
Authors:	Xiong, Xiang-Tuan ; Fu, Chu-Li ; Cheng, Jin
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 79.2009, 5, p. 1668-1678
Publisher:	Elsevier
Subject:	Ill-posed problems \| Sideways parabolic equation \| Spectral regularization method \| A-posteriori regularization parameter \| Error estimate

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

Persistent link: https://www.econbiz.de/10010869976