Regularization methods for unknown source in space fractional diffusion equation

We discuss determining the unknown steady source in a space fractional diffusion equation and show that both the Fourier and wavelet dual least squares regularization methods work well for the ill-posed problem. The detailed error estimates are also strictly established for both of the methods. Moreover, the algorithm implementation and the corresponding numerical results are presented for the Fourier regularization method.

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Year of publication:	2012
Authors:	Tian, WenYi ; Li, Can ; Deng, Weihua ; Wu, Yujiang
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 85.2012, C, p. 45-56
Publisher:	Elsevier
Subject:	Space fractional diffusion equation \| Ill-posed problems \| Regularization methods

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

Persistent link: https://www.econbiz.de/10010751843