On stability of the third order partial delay differential equation with involution and Dirichlet condition
In this paper the stability of the initial value problem for the third order partial delay differential equation with involution is investigated. The first order of accuracy absolute stable difference scheme for the solution of the differential problem is presented. Stability estimates for the solu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2021-06-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/408 |
| _version_ | 1797372675647078400 |
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| author | A. Ashyralyev S. Ibrahim E. Hincal |
| author_facet | A. Ashyralyev S. Ibrahim E. Hincal |
| author_sort | A. Ashyralyev |
| collection | DOAJ |
| description |
In this paper the stability of the initial value problem for the third order partial delay differential equation with involution is investigated. The first order of accuracy absolute stable difference scheme for the solution of the differential problem is presented. Stability estimates for the solution of this difference scheme are proved. Numerical results are provided.
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| first_indexed | 2024-03-08T18:39:15Z |
| format | Article |
| id | doaj.art-b4e8e41aa202424fb488421a1e2d25a0 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:39:15Z |
| publishDate | 2021-06-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-b4e8e41aa202424fb488421a1e2d25a02023-12-29T10:19:56ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112021-06-01102210.31489/2021m2/25-34On stability of the third order partial delay differential equation with involution and Dirichlet conditionA. AshyralyevS. IbrahimE. Hincal In this paper the stability of the initial value problem for the third order partial delay differential equation with involution is investigated. The first order of accuracy absolute stable difference scheme for the solution of the differential problem is presented. Stability estimates for the solution of this difference scheme are proved. Numerical results are provided. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/408time delaythird order partial differential equationsstabilitydifference scheme |
| spellingShingle | A. Ashyralyev S. Ibrahim E. Hincal On stability of the third order partial delay differential equation with involution and Dirichlet condition Қарағанды университетінің хабаршысы. Математика сериясы time delay third order partial differential equations stability difference scheme |
| title | On stability of the third order partial delay differential equation with involution and Dirichlet condition |
| title_full | On stability of the third order partial delay differential equation with involution and Dirichlet condition |
| title_fullStr | On stability of the third order partial delay differential equation with involution and Dirichlet condition |
| title_full_unstemmed | On stability of the third order partial delay differential equation with involution and Dirichlet condition |
| title_short | On stability of the third order partial delay differential equation with involution and Dirichlet condition |
| title_sort | on stability of the third order partial delay differential equation with involution and dirichlet condition |
| topic | time delay third order partial differential equations stability difference scheme |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/408 |
| work_keys_str_mv | AT aashyralyev onstabilityofthethirdorderpartialdelaydifferentialequationwithinvolutionanddirichletcondition AT sibrahim onstabilityofthethirdorderpartialdelaydifferentialequationwithinvolutionanddirichletcondition AT ehincal onstabilityofthethirdorderpartialdelaydifferentialequationwithinvolutionanddirichletcondition |