Inverse Coefficient Problem of the Parabolic Equation with Periodic Boundary and Integral Overdetermination Conditions
This paper investigates the inverse problem of finding a time-dependent diffusion coefficient in a parabolic equation with the periodic boundary and integral overdetermination conditions. Under some assumption on the data, the existence, uniqueness, and continuous dependence on the data of the solut...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/659804 |
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| _version_ | 1832548479588630528 |
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| author | Fatma Kanca |
| author_facet | Fatma Kanca |
| author_sort | Fatma Kanca |
| collection | DOAJ |
| description | This paper investigates the inverse problem of finding a time-dependent diffusion coefficient in a parabolic equation with the periodic boundary and integral overdetermination conditions. Under some assumption on the data, the existence, uniqueness, and continuous dependence on the data of the solution are shown by using the generalized Fourier method. The accuracy and computational efficiency of the proposed method are
verified with the help of the numerical examples. |
| format | Article |
| id | doaj-art-9595cb51fbbd48a89680b63f895fdec8 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9595cb51fbbd48a89680b63f895fdec82025-02-03T06:13:56ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/659804659804Inverse Coefficient Problem of the Parabolic Equation with Periodic Boundary and Integral Overdetermination ConditionsFatma Kanca0Department of Management Information Systems, Kadir Has University, 34083 Istanbul, TurkeyThis paper investigates the inverse problem of finding a time-dependent diffusion coefficient in a parabolic equation with the periodic boundary and integral overdetermination conditions. Under some assumption on the data, the existence, uniqueness, and continuous dependence on the data of the solution are shown by using the generalized Fourier method. The accuracy and computational efficiency of the proposed method are verified with the help of the numerical examples.http://dx.doi.org/10.1155/2013/659804 |
| spellingShingle | Fatma Kanca Inverse Coefficient Problem of the Parabolic Equation with Periodic Boundary and Integral Overdetermination Conditions Abstract and Applied Analysis |
| title | Inverse Coefficient Problem of the Parabolic Equation with Periodic Boundary and Integral Overdetermination Conditions |
| title_full | Inverse Coefficient Problem of the Parabolic Equation with Periodic Boundary and Integral Overdetermination Conditions |
| title_fullStr | Inverse Coefficient Problem of the Parabolic Equation with Periodic Boundary and Integral Overdetermination Conditions |
| title_full_unstemmed | Inverse Coefficient Problem of the Parabolic Equation with Periodic Boundary and Integral Overdetermination Conditions |
| title_short | Inverse Coefficient Problem of the Parabolic Equation with Periodic Boundary and Integral Overdetermination Conditions |
| title_sort | inverse coefficient problem of the parabolic equation with periodic boundary and integral overdetermination conditions |
| url | http://dx.doi.org/10.1155/2013/659804 |
| work_keys_str_mv | AT fatmakanca inversecoefficientproblemoftheparabolicequationwithperiodicboundaryandintegraloverdeterminationconditions |