A numerical solution for an inverse heat conduction problem
In this paper, we demonstrate the existence and uniqueness a semianalytical solution of an inverse heat conduction problem (IHCP) in the form: ut = uxx in the domain D = {(x, t)| 0 < x < 1, 0 < t T}, u(x, T) = f(x), u(0, t) = g(t), and ux(0, t) = p(t), for any 0 t T. Some numerical exper...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Ferdowsi University of Mashhad
2008-01-01
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| Series: | Iranian Journal of Numerical Analysis and Optimization |
| Subjects: | |
| Online Access: | https://ijnao.um.ac.ir/article_24402_d097ae55c225708c78265c9110687ab4.pdf |
| _version_ | 1818915485605953536 |
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| author | Abdollah Shidfar Ali Zakeri |
| author_facet | Abdollah Shidfar Ali Zakeri |
| author_sort | Abdollah Shidfar |
| collection | DOAJ |
| description | In this paper, we demonstrate the existence and uniqueness a semianalytical solution of an inverse heat conduction problem (IHCP) in the form: ut = uxx in the domain D = {(x, t)| 0 < x < 1, 0 < t T}, u(x, T) = f(x), u(0, t) = g(t), and ux(0, t) = p(t), for any 0 t T. Some numerical experiments are given in the final section. |
| first_indexed | 2024-12-20T00:03:02Z |
| format | Article |
| id | doaj.art-7a9e6f3b1f1d4614a4cf8a2d214dfb6a |
| institution | Directory Open Access Journal |
| issn | 2423-6977 2423-6969 |
| language | English |
| last_indexed | 2024-12-20T00:03:02Z |
| publishDate | 2008-01-01 |
| publisher | Ferdowsi University of Mashhad |
| record_format | Article |
| series | Iranian Journal of Numerical Analysis and Optimization |
| spelling | doaj.art-7a9e6f3b1f1d4614a4cf8a2d214dfb6a2022-12-21T20:00:46ZengFerdowsi University of MashhadIranian Journal of Numerical Analysis and Optimization2423-69772423-69692008-01-011110.22067/ijnao.v1i1.61924402A numerical solution for an inverse heat conduction problemAbdollah Shidfar0Ali Zakeri1Department of Mathematics, Iran University of Science and Technology Narmak, Tehran-16, IranFaculty of Science, K.N. Toosi University of Technology, Tehran, IranIn this paper, we demonstrate the existence and uniqueness a semianalytical solution of an inverse heat conduction problem (IHCP) in the form: ut = uxx in the domain D = {(x, t)| 0 < x < 1, 0 < t T}, u(x, T) = f(x), u(0, t) = g(t), and ux(0, t) = p(t), for any 0 t T. Some numerical experiments are given in the final section.https://ijnao.um.ac.ir/article_24402_d097ae55c225708c78265c9110687ab4.pdfinverse heat conduction problemsemi-analytical solutionfinite difference method |
| spellingShingle | Abdollah Shidfar Ali Zakeri A numerical solution for an inverse heat conduction problem Iranian Journal of Numerical Analysis and Optimization inverse heat conduction problem semi-analytical solution finite difference method |
| title | A numerical solution for an inverse heat conduction problem |
| title_full | A numerical solution for an inverse heat conduction problem |
| title_fullStr | A numerical solution for an inverse heat conduction problem |
| title_full_unstemmed | A numerical solution for an inverse heat conduction problem |
| title_short | A numerical solution for an inverse heat conduction problem |
| title_sort | numerical solution for an inverse heat conduction problem |
| topic | inverse heat conduction problem semi-analytical solution finite difference method |
| url | https://ijnao.um.ac.ir/article_24402_d097ae55c225708c78265c9110687ab4.pdf |
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