Numerical solution of backward heat conduction problems by a high order lattice-free finite difference method
We construct a high order finite difference method in which quadrature points do not need to have a lattice structure. In order to develop our method we show two tools using Fourier transform and Taylor expansion, respectively. On the other hand, the backward heat conduction problem is a typical exa...
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| Published in: | Journal of the Chinese Institute of Engineers Vol. 27; no. 4; pp. 611 - 620 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
Taylor & Francis Group
01.06.2004
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| Subjects: | |
| ISSN: | 0253-3839, 2158-7299 |
| Online Access: | Get full text |
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| Summary: | We construct a high order finite difference method in which quadrature points do not need to have a lattice structure. In order to develop our method we show two tools using Fourier transform and Taylor expansion, respectively. On the other hand, the backward heat conduction problem is a typical example of ill-posed problems in the sense that the solution is unstable for errors of data. Our aim is creation of a meshless method which can be applied to the ill-posed problem. From numerical experiments we confirmed that our method is effective in solving two-dimensional backward heat conduction equations subject to the Dirichlet boundary condition. |
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| ISSN: | 0253-3839 2158-7299 |
| DOI: | 10.1080/02533839.2004.9670908 |