Numerical solution of the boundary value problems for the parabolic equation with involution
In this work, we study two boundary value problems for involutary parabolic equation with the first and second kind conditions. We propose absolute stable difference schemes for numerical solutions of these boundary value problems. Actually the stability estimates for solutions of difference scheme...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2023-03-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/552 |
| _version_ | 1797372740248797184 |
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| author | A. Ashyralyev C. Ashyralyyev A.M.S. Ahmed |
| author_facet | A. Ashyralyev C. Ashyralyyev A.M.S. Ahmed |
| author_sort | A. Ashyralyev |
| collection | DOAJ |
| description |
In this work, we study two boundary value problems for involutary parabolic equation with the first and second kind conditions. We propose absolute stable difference schemes for numerical solutions of these boundary value problems. Actually the stability estimates for solutions of difference schemes are proved. Later error analysis for the numerical solution of both difference schemes are illustrated by test examples.
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| first_indexed | 2024-03-08T18:39:13Z |
| format | Article |
| id | doaj.art-ae8c02ecdb1d4c5c83d6e6da9f11e419 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:39:13Z |
| publishDate | 2023-03-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-ae8c02ecdb1d4c5c83d6e6da9f11e4192023-12-29T10:19:05ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112023-03-01109110.31489/2023m1/48-57Numerical solution of the boundary value problems for the parabolic equation with involutionA. AshyralyevC. AshyralyyevA.M.S. Ahmed In this work, we study two boundary value problems for involutary parabolic equation with the first and second kind conditions. We propose absolute stable difference schemes for numerical solutions of these boundary value problems. Actually the stability estimates for solutions of difference schemes are proved. Later error analysis for the numerical solution of both difference schemes are illustrated by test examples. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/552involutionparabolicfinite difference schemestability estimateboundary value problem |
| spellingShingle | A. Ashyralyev C. Ashyralyyev A.M.S. Ahmed Numerical solution of the boundary value problems for the parabolic equation with involution Қарағанды университетінің хабаршысы. Математика сериясы involution parabolic finite difference scheme stability estimate boundary value problem |
| title | Numerical solution of the boundary value problems for the parabolic equation with involution |
| title_full | Numerical solution of the boundary value problems for the parabolic equation with involution |
| title_fullStr | Numerical solution of the boundary value problems for the parabolic equation with involution |
| title_full_unstemmed | Numerical solution of the boundary value problems for the parabolic equation with involution |
| title_short | Numerical solution of the boundary value problems for the parabolic equation with involution |
| title_sort | numerical solution of the boundary value problems for the parabolic equation with involution |
| topic | involution parabolic finite difference scheme stability estimate boundary value problem |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/552 |
| work_keys_str_mv | AT aashyralyev numericalsolutionoftheboundaryvalueproblemsfortheparabolicequationwithinvolution AT cashyralyyev numericalsolutionoftheboundaryvalueproblemsfortheparabolicequationwithinvolution AT amsahmed numericalsolutionoftheboundaryvalueproblemsfortheparabolicequationwithinvolution |