Regularization methods for unknown source in space fractional diffusion equation

WenYi Tian, Can Li, Weihua Deng and Yujiang Wu

Mathematics and Computers in Simulation (MATCOM), 2012, vol. 85, issue C, 45-56

Abstract: 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.

Keywords: Space fractional diffusion equation; Ill-posed problems; Regularization methods (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:85:y:2012:i:c:p:45-56

DOI: 10.1016/j.matcom.2012.08.011

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