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: | Tian WenYi, Li Can, Deng Weihua, Wu Yujiang |
Keywords: | regularisation techniques, wavelets, diffusion models |
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.