| Article ID: | iaor201527016 |
| Volume: | 79 |
| Issue: | 5 |
| Start Page Number: | 1668 |
| End Page Number: | 1678 |
| Publication Date: | Jan 2009 |
| Journal: | Mathematics and Computers in Simulation |
| Authors: | Xiong Xiang-Tuan, Fu Chu-Li, Cheng Jin |
| Keywords: | regularisation techniques, spectral analysis |
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.