Regularization methods for unknown source in space fractional diffusion equation

Regularization methods for unknown source in space fractional diffusion equation

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Article ID: iaor20127944
Volume: 85
Issue: 3
Start Page Number: 45
End Page Number: 56
Publication Date: Nov 2012
Journal: Mathematics and Computers in Simulation
Authors: , , ,
Keywords: regularisation techniques, wavelets, diffusion models
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.

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