A note on the parabolic identification problem with involution and Dirichlet condition
A space source of identification problem for parabolic equation with involution and Dirichlet condition is studied. The well-posedness theorem on the differential equation of the source identification parabolic problem is established. The stable difference scheme for the approximate solution of thi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2020-09-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/402 |
| _version_ | 1797372648239398912 |
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| author | A. Ashyralyev A.S. Erdogan A. Sarsenbi |
| author_facet | A. Ashyralyev A.S. Erdogan A. Sarsenbi |
| author_sort | A. Ashyralyev |
| collection | DOAJ |
| description |
A space source of identification problem for parabolic equation with involution and Dirichlet condition is studied. The well-posedness theorem on the differential equation of the source identification parabolic problem is established. The stable difference scheme for the approximate solution of this problem is presented. Furthermore, stability estimates for the difference scheme of the source identification parabolic problem are presented. Numerical results are given.
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| first_indexed | 2024-03-08T18:38:52Z |
| format | Article |
| id | doaj.art-4bcbf6575a4c4f1a8ff0b6844575be56 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:38:52Z |
| publishDate | 2020-09-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-4bcbf6575a4c4f1a8ff0b6844575be562023-12-29T10:20:13ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112020-09-0199310.31489/2020m3/130-139A note on the parabolic identification problem with involution and Dirichlet conditionA. AshyralyevA.S. ErdoganA. Sarsenbi A space source of identification problem for parabolic equation with involution and Dirichlet condition is studied. The well-posedness theorem on the differential equation of the source identification parabolic problem is established. The stable difference scheme for the approximate solution of this problem is presented. Furthermore, stability estimates for the difference scheme of the source identification parabolic problem are presented. Numerical results are given. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/402well-posednesselliptic equationspositivitycoercive stabilitysource identificationexact estimates |
| spellingShingle | A. Ashyralyev A.S. Erdogan A. Sarsenbi A note on the parabolic identification problem with involution and Dirichlet condition Қарағанды университетінің хабаршысы. Математика сериясы well-posedness elliptic equations positivity coercive stability source identification exact estimates |
| title | A note on the parabolic identification problem with involution and Dirichlet condition |
| title_full | A note on the parabolic identification problem with involution and Dirichlet condition |
| title_fullStr | A note on the parabolic identification problem with involution and Dirichlet condition |
| title_full_unstemmed | A note on the parabolic identification problem with involution and Dirichlet condition |
| title_short | A note on the parabolic identification problem with involution and Dirichlet condition |
| title_sort | note on the parabolic identification problem with involution and dirichlet condition |
| topic | well-posedness elliptic equations positivity coercive stability source identification exact estimates |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/402 |
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