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

Xiang-Tuan Xiong, Chu-Li Fu and Jin Cheng

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 5, 1668-1678

Abstract: 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.

Keywords: Ill-posed problems; Sideways parabolic equation; Spectral regularization method; A-posteriori regularization parameter; Error estimate (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:5:p:1668-1678

DOI: 10.1016/j.matcom.2008.08.009

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