Determination of conductivity in a heat equation
We consider the problem of determining the conductivity in a heat equation from overspecified non-smooth data. It is an ill-posed inverse problem. We apply a regularization approach to define and construct a stable approximate solution. We also conduct numerical simulation to demonstrate the accurac...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200004713 |
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| _version_ | 1832551438238089216 |
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| author | Ping Wang Kewang Zheng |
| author_facet | Ping Wang Kewang Zheng |
| author_sort | Ping Wang |
| collection | DOAJ |
| description | We consider the problem of determining the conductivity in a heat
equation from overspecified non-smooth data. It is an ill-posed
inverse problem. We apply a regularization approach to define and
construct a stable approximate solution. We also conduct numerical
simulation to demonstrate the accuracy of our approximation. |
| format | Article |
| id | doaj-art-0e6a37aa1a474dc68781a35c862d0422 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0e6a37aa1a474dc68781a35c862d04222025-02-03T06:01:29ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124958959410.1155/S0161171200004713Determination of conductivity in a heat equationPing Wang0Kewang Zheng1Department of Mathematics, Pennsylvania State University, Schuylkill Haven 17972, PA, USADepartment of Mathematics, Hebei University of Science and Technology, ChinaWe consider the problem of determining the conductivity in a heat equation from overspecified non-smooth data. It is an ill-posed inverse problem. We apply a regularization approach to define and construct a stable approximate solution. We also conduct numerical simulation to demonstrate the accuracy of our approximation.http://dx.doi.org/10.1155/S0161171200004713Heat equationinverse problemregularization. |
| spellingShingle | Ping Wang Kewang Zheng Determination of conductivity in a heat equation International Journal of Mathematics and Mathematical Sciences Heat equation inverse problem regularization. |
| title | Determination of conductivity in a heat equation |
| title_full | Determination of conductivity in a heat equation |
| title_fullStr | Determination of conductivity in a heat equation |
| title_full_unstemmed | Determination of conductivity in a heat equation |
| title_short | Determination of conductivity in a heat equation |
| title_sort | determination of conductivity in a heat equation |
| topic | Heat equation inverse problem regularization. |
| url | http://dx.doi.org/10.1155/S0161171200004713 |
| work_keys_str_mv | AT pingwang determinationofconductivityinaheatequation AT kewangzheng determinationofconductivityinaheatequation |