A numerical approach for solving Volterra delay integro-differential equation
In this paper, we propose a finite difference technique for approximating solutions of first-order Volterra delay integro-differential equation. The presented numerical method acquires a second-order convergence in discrete maximum norm. The derived results are numerically validated in test problems...
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| Format: | Article |
| Language: | English |
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Miskolc University Press
2024-01-01
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| Series: | Miskolc Mathematical Notes |
| Online Access: | http://mat76.mat.uni-miskolc.hu/mnotes/article/4562 |
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| author | Ilhame Amirali Muhammet Enes Durmaz Gabil M. Amiraliyev |
| author_facet | Ilhame Amirali Muhammet Enes Durmaz Gabil M. Amiraliyev |
| author_sort | Ilhame Amirali |
| collection | DOAJ |
| description | In this paper, we propose a finite difference technique for approximating solutions of first-order Volterra delay integro-differential equation. The presented numerical method acquires a second-order convergence in discrete maximum norm. The derived results are numerically validated in test problems to support the theoretical analysis. |
| format | Article |
| id | doaj-art-653d2bd1daf84c8cab4153a3f4a3af6e |
| institution | Kabale University |
| issn | 1787-2405 1787-2413 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Miskolc University Press |
| record_format | Article |
| series | Miskolc Mathematical Notes |
| spelling | doaj-art-653d2bd1daf84c8cab4153a3f4a3af6e2025-01-21T12:00:07ZengMiskolc University PressMiskolc Mathematical Notes1787-24051787-24132024-01-0125255310.18514/MMN.2024.4562A numerical approach for solving Volterra delay integro-differential equationIlhame AmiraliMuhammet Enes DurmazGabil M. AmiraliyevIn this paper, we propose a finite difference technique for approximating solutions of first-order Volterra delay integro-differential equation. The presented numerical method acquires a second-order convergence in discrete maximum norm. The derived results are numerically validated in test problems to support the theoretical analysis.http://mat76.mat.uni-miskolc.hu/mnotes/article/4562 |
| spellingShingle | Ilhame Amirali Muhammet Enes Durmaz Gabil M. Amiraliyev A numerical approach for solving Volterra delay integro-differential equation Miskolc Mathematical Notes |
| title | A numerical approach for solving Volterra delay integro-differential equation |
| title_full | A numerical approach for solving Volterra delay integro-differential equation |
| title_fullStr | A numerical approach for solving Volterra delay integro-differential equation |
| title_full_unstemmed | A numerical approach for solving Volterra delay integro-differential equation |
| title_short | A numerical approach for solving Volterra delay integro-differential equation |
| title_sort | numerical approach for solving volterra delay integro differential equation |
| url | http://mat76.mat.uni-miskolc.hu/mnotes/article/4562 |
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