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Recovering a time‐dependent coefficient in a parabolic equation from overspecified boundary data using the pseudospectral Legendre method |
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| Authors: | M. Shamsi Mehdi Dehghan |
| Affiliation: | 1. Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran;2. Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, IranDepartment of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424 Hafez Avenue, Tehran, Iran |
| Abstract: | The aim of this article is to discuss the problem of finding the unknown function u(x,t) and the time‐dependent coefficient a(t) in a parabolic partial differential equation. The pseudospectral Legendre method is employed to solve this problem. The results of numerical experiments are given. © 2006 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2007 |
| Keywords: | Pseudospectral Legendre technique extra measurement parabolic partial differential equations determination of a time‐dependent coefficient conductivity of a medium |