Numerical solution of two backward parabolic problems using method of fundamental solutions
This work is devoted to a numerical algorithm based on the method of fundamental solutions (MFS) for solving two backward parabolic problems with different boundary conditions, one with nonlocal Dirichlet boundary conditions, and second one with Robin type boundary conditions. The initial temperatur...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Shidfar, A [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Rechteinformationen: |
Nutzungsrecht: © 2016 Taylor & Francis 2016 |
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| Schlagwörter: |
Tikhonov regularization method |
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| Übergeordnetes Werk: |
Enthalten in: Inverse problems in science and engineering - Abingdon : Taylor & Francis, 2004, 25(2017), 2, Seite 155-168 |
|---|---|
| Übergeordnetes Werk: |
volume:25 ; year:2017 ; number:2 ; pages:155-168 |
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10.1080/17415977.2016.1138947 |
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| 520 | |a This work is devoted to a numerical algorithm based on the method of fundamental solutions (MFS) for solving two backward parabolic problems with different boundary conditions, one with nonlocal Dirichlet boundary conditions, and second one with Robin type boundary conditions. The initial temperature distribution will be identified from the final temperature distribution, which appear in some applied subjects. The Tikhonov regularization method with the L-curve criterion for choosing the regularization parameter is adopted for solving the resulting matrix equation which is highly ill-conditioned. Two numerical examples are provided to show the high efficiency of the suggested method. | ||
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10.1080/17415977.2016.1138947 doi PQ20170301 (DE-627)OLC1989592201 (DE-599)GBVOLC1989592201 (PRQ)c1901-6a1a4f2464363b86aafe0b6345c02d23236fe4fd280de73660d842c25b5df4930 (KEY)0278195620170000025000200155numericalsolutionoftwobackwardparabolicproblemsusi DE-627 ger DE-627 rakwb eng 004 ZDB 50.03 bkl Shidfar, A verfasserin aut Numerical solution of two backward parabolic problems using method of fundamental solutions 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This work is devoted to a numerical algorithm based on the method of fundamental solutions (MFS) for solving two backward parabolic problems with different boundary conditions, one with nonlocal Dirichlet boundary conditions, and second one with Robin type boundary conditions. The initial temperature distribution will be identified from the final temperature distribution, which appear in some applied subjects. The Tikhonov regularization method with the L-curve criterion for choosing the regularization parameter is adopted for solving the resulting matrix equation which is highly ill-conditioned. Two numerical examples are provided to show the high efficiency of the suggested method. Nutzungsrecht: © 2016 Taylor & Francis 2016 nonlocal boundary conditions Backward problem Tikhonov regularization method Ill-posed problem method of fundamental solutions Boundary conditions Regularization methods Darooghehgimofrad, Z oth Enthalten in Inverse problems in science and engineering Abingdon : Taylor & Francis, 2004 25(2017), 2, Seite 155-168 (DE-627)385350805 (DE-600)2142987-X (DE-576)9385350803 1741-5977 nnns volume:25 year:2017 number:2 pages:155-168 http://dx.doi.org/10.1080/17415977.2016.1138947 Volltext http://www.tandfonline.com/doi/abs/10.1080/17415977.2016.1138947 http://search.proquest.com/docview/1842515462 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 50.03 AVZ AR 25 2017 2 155-168 |
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10.1080/17415977.2016.1138947 doi PQ20170301 (DE-627)OLC1989592201 (DE-599)GBVOLC1989592201 (PRQ)c1901-6a1a4f2464363b86aafe0b6345c02d23236fe4fd280de73660d842c25b5df4930 (KEY)0278195620170000025000200155numericalsolutionoftwobackwardparabolicproblemsusi DE-627 ger DE-627 rakwb eng 004 ZDB 50.03 bkl Shidfar, A verfasserin aut Numerical solution of two backward parabolic problems using method of fundamental solutions 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This work is devoted to a numerical algorithm based on the method of fundamental solutions (MFS) for solving two backward parabolic problems with different boundary conditions, one with nonlocal Dirichlet boundary conditions, and second one with Robin type boundary conditions. The initial temperature distribution will be identified from the final temperature distribution, which appear in some applied subjects. The Tikhonov regularization method with the L-curve criterion for choosing the regularization parameter is adopted for solving the resulting matrix equation which is highly ill-conditioned. Two numerical examples are provided to show the high efficiency of the suggested method. Nutzungsrecht: © 2016 Taylor & Francis 2016 nonlocal boundary conditions Backward problem Tikhonov regularization method Ill-posed problem method of fundamental solutions Boundary conditions Regularization methods Darooghehgimofrad, Z oth Enthalten in Inverse problems in science and engineering Abingdon : Taylor & Francis, 2004 25(2017), 2, Seite 155-168 (DE-627)385350805 (DE-600)2142987-X (DE-576)9385350803 1741-5977 nnns volume:25 year:2017 number:2 pages:155-168 http://dx.doi.org/10.1080/17415977.2016.1138947 Volltext http://www.tandfonline.com/doi/abs/10.1080/17415977.2016.1138947 http://search.proquest.com/docview/1842515462 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 50.03 AVZ AR 25 2017 2 155-168 |
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10.1080/17415977.2016.1138947 doi PQ20170301 (DE-627)OLC1989592201 (DE-599)GBVOLC1989592201 (PRQ)c1901-6a1a4f2464363b86aafe0b6345c02d23236fe4fd280de73660d842c25b5df4930 (KEY)0278195620170000025000200155numericalsolutionoftwobackwardparabolicproblemsusi DE-627 ger DE-627 rakwb eng 004 ZDB 50.03 bkl Shidfar, A verfasserin aut Numerical solution of two backward parabolic problems using method of fundamental solutions 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This work is devoted to a numerical algorithm based on the method of fundamental solutions (MFS) for solving two backward parabolic problems with different boundary conditions, one with nonlocal Dirichlet boundary conditions, and second one with Robin type boundary conditions. The initial temperature distribution will be identified from the final temperature distribution, which appear in some applied subjects. The Tikhonov regularization method with the L-curve criterion for choosing the regularization parameter is adopted for solving the resulting matrix equation which is highly ill-conditioned. Two numerical examples are provided to show the high efficiency of the suggested method. Nutzungsrecht: © 2016 Taylor & Francis 2016 nonlocal boundary conditions Backward problem Tikhonov regularization method Ill-posed problem method of fundamental solutions Boundary conditions Regularization methods Darooghehgimofrad, Z oth Enthalten in Inverse problems in science and engineering Abingdon : Taylor & Francis, 2004 25(2017), 2, Seite 155-168 (DE-627)385350805 (DE-600)2142987-X (DE-576)9385350803 1741-5977 nnns volume:25 year:2017 number:2 pages:155-168 http://dx.doi.org/10.1080/17415977.2016.1138947 Volltext http://www.tandfonline.com/doi/abs/10.1080/17415977.2016.1138947 http://search.proquest.com/docview/1842515462 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 50.03 AVZ AR 25 2017 2 155-168 |
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Numerical solution of two backward parabolic problems using method of fundamental solutions |
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This work is devoted to a numerical algorithm based on the method of fundamental solutions (MFS) for solving two backward parabolic problems with different boundary conditions, one with nonlocal Dirichlet boundary conditions, and second one with Robin type boundary conditions. The initial temperature distribution will be identified from the final temperature distribution, which appear in some applied subjects. The Tikhonov regularization method with the L-curve criterion for choosing the regularization parameter is adopted for solving the resulting matrix equation which is highly ill-conditioned. Two numerical examples are provided to show the high efficiency of the suggested method. |
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This work is devoted to a numerical algorithm based on the method of fundamental solutions (MFS) for solving two backward parabolic problems with different boundary conditions, one with nonlocal Dirichlet boundary conditions, and second one with Robin type boundary conditions. The initial temperature distribution will be identified from the final temperature distribution, which appear in some applied subjects. The Tikhonov regularization method with the L-curve criterion for choosing the regularization parameter is adopted for solving the resulting matrix equation which is highly ill-conditioned. Two numerical examples are provided to show the high efficiency of the suggested method. |
| abstract_unstemmed |
This work is devoted to a numerical algorithm based on the method of fundamental solutions (MFS) for solving two backward parabolic problems with different boundary conditions, one with nonlocal Dirichlet boundary conditions, and second one with Robin type boundary conditions. The initial temperature distribution will be identified from the final temperature distribution, which appear in some applied subjects. The Tikhonov regularization method with the L-curve criterion for choosing the regularization parameter is adopted for solving the resulting matrix equation which is highly ill-conditioned. Two numerical examples are provided to show the high efficiency of the suggested method. |
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| title_short |
Numerical solution of two backward parabolic problems using method of fundamental solutions |
| url |
http://dx.doi.org/10.1080/17415977.2016.1138947 http://www.tandfonline.com/doi/abs/10.1080/17415977.2016.1138947 http://search.proquest.com/docview/1842515462 |
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Darooghehgimofrad, Z |
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| doi_str |
10.1080/17415977.2016.1138947 |
| up_date |
2024-07-03T22:05:46.487Z |
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