Applications of Haar basis method for solving some ill-posed inverse problems |
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Authors: | R. Pourgholi N. Tavallaie S. Foadian |
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Affiliation: | 1. School of Mathematics and Computer Sciences, Damghan University, P.O. Box 36715-364, Damghan, Iran
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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. |
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