A numerical framework for solving high-order pantograph-delay Volterra integro-differential equations
In this paper, we present an efficient numerical method to solve Volterra integrodifferentialequations of pantograph-delay type. We use the Euler polynomials toapproximate the solutions. The proposed method is discussed in detail and comparedby solving some numerical examples. Moreover, the error es...
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| Format: | Article |
| Language: | English |
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Elsevier
2016-02-01
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| Series: | Kuwait Journal of Science |
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| Online Access: | https://journalskuwait.org/kjs/index.php/KJS/article/view/595 |
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| author | Farshid Mirzaee Saeed Bimesl Emran Tohidi |
| author_facet | Farshid Mirzaee Saeed Bimesl Emran Tohidi |
| author_sort | Farshid Mirzaee |
| collection | DOAJ |
| description | In this paper, we present an efficient numerical method to solve Volterra integrodifferentialequations of pantograph-delay type. We use the Euler polynomials toapproximate the solutions. The proposed method is discussed in detail and comparedby solving some numerical examples. Moreover, the error estimates of the proposedmethod is given. Special cases of the main results are also mentioned. |
| format | Article |
| id | doaj-art-5fcae446fb634845814c59cd144ebf5a |
| institution | Kabale University |
| issn | 2307-4108 2307-4116 |
| language | English |
| publishDate | 2016-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Kuwait Journal of Science |
| spelling | doaj-art-5fcae446fb634845814c59cd144ebf5a2025-08-20T03:26:43ZengElsevierKuwait Journal of Science2307-41082307-41162016-02-01431251A numerical framework for solving high-order pantograph-delay Volterra integro-differential equationsFarshid Mirzaee0Saeed Bimesl1Emran Tohidi2Malayer UniversityMalayer UniversityDepartment of Mathematics, Islamic Azad University, Zahedan Branch, ZahedanIn this paper, we present an efficient numerical method to solve Volterra integrodifferentialequations of pantograph-delay type. We use the Euler polynomials toapproximate the solutions. The proposed method is discussed in detail and comparedby solving some numerical examples. Moreover, the error estimates of the proposedmethod is given. Special cases of the main results are also mentioned.https://journalskuwait.org/kjs/index.php/KJS/article/view/595Accuracyeuler polynomialshigh-orderintegro-differential equationspantograph-delay. |
| spellingShingle | Farshid Mirzaee Saeed Bimesl Emran Tohidi A numerical framework for solving high-order pantograph-delay Volterra integro-differential equations Kuwait Journal of Science Accuracy euler polynomials high-order integro-differential equations pantograph-delay. |
| title | A numerical framework for solving high-order pantograph-delay Volterra integro-differential equations |
| title_full | A numerical framework for solving high-order pantograph-delay Volterra integro-differential equations |
| title_fullStr | A numerical framework for solving high-order pantograph-delay Volterra integro-differential equations |
| title_full_unstemmed | A numerical framework for solving high-order pantograph-delay Volterra integro-differential equations |
| title_short | A numerical framework for solving high-order pantograph-delay Volterra integro-differential equations |
| title_sort | numerical framework for solving high order pantograph delay volterra integro differential equations |
| topic | Accuracy euler polynomials high-order integro-differential equations pantograph-delay. |
| url | https://journalskuwait.org/kjs/index.php/KJS/article/view/595 |
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