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| Content Provider | Springer Nature Link |
|---|---|
| Author | Foadian, S. Pourgholi, R. Tavallaie, N. |
| Copyright Year | 2012 |
| Abstract | In this paper a numerical method consists of combining Haar basis method and Tikhonov regularization method for solving some ill-posed inverse problems using noisy data is presented. By using a sensor located at a point inside the body and measuring the u(x, t) at a point x = a, 0 < a < 1, and applying Haar basis method to the inverse problem, we determine a stable numerical solution to this problem. Results show that an excellent estimation on the unknown functions of the inverse problem can be obtained within a couple of minutes CPU time at pentium IV-2.4 GHz PC. |
| Ending Page | 2337 |
| Page Count | 21 |
| Starting Page | 2317 |
| File Format | |
| ISSN | 02599791 |
| e-ISSN | 15728897 |
| Journal | Journal of Mathematical Chemistry |
| Issue Number | 8 |
| Volume Number | 50 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2012-06-06 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Ill-posed inverse problems Theoretical and Computational Chemistry Inverse problems Heat equation Physical Chemistry Haar basis method Noisy data Tikhonov regularization method Math. Applications in Chemistry |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Chemistry |
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