A capable numerical scheme for solving nonlinear Volterra delay integral equations of the third kind
In this paper, a class of nonlinear Volterra delay integral equations of the third kind (VDIEs) is approximated by an efficient manner. At first, by using some conditions the existence and uniqueness of the solution is discussed based on the nonlinear cordial Volterra integral operators. Moreover, i...
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| Language: | English |
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Elsevier
2024-11-01
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| Series: | Results in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590037424000827 |
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| author | Rohollah Ghaedi Ghalini Esmail Hesameddini Hojatollah Laeli Dastjerdi |
| author_facet | Rohollah Ghaedi Ghalini Esmail Hesameddini Hojatollah Laeli Dastjerdi |
| author_sort | Rohollah Ghaedi Ghalini |
| collection | DOAJ |
| description | In this paper, a class of nonlinear Volterra delay integral equations of the third kind (VDIEs) is approximated by an efficient manner. At first, by using some conditions the existence and uniqueness of the solution is discussed based on the nonlinear cordial Volterra integral operators. Moreover, its convergence analysis is shown by using interpolation properties through some theorems and lemmas. Also, some examples are given and the results are compared with their exact solutions to demonstrate the reliability and capability of this algorithm. |
| format | Article |
| id | doaj-art-fae45f1ebf8846969c81e7d8e5ea38a2 |
| institution | Kabale University |
| issn | 2590-0374 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Applied Mathematics |
| spelling | doaj-art-fae45f1ebf8846969c81e7d8e5ea38a22024-12-17T05:00:29ZengElsevierResults in Applied Mathematics2590-03742024-11-0124100512A capable numerical scheme for solving nonlinear Volterra delay integral equations of the third kindRohollah Ghaedi Ghalini0Esmail Hesameddini1Hojatollah Laeli Dastjerdi2Department of Mathematics, Shiraz University of Technology, Shiraz, IranDepartment of Mathematics, Shiraz University of Technology, Shiraz, Iran; Corresponding author.Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, IranIn this paper, a class of nonlinear Volterra delay integral equations of the third kind (VDIEs) is approximated by an efficient manner. At first, by using some conditions the existence and uniqueness of the solution is discussed based on the nonlinear cordial Volterra integral operators. Moreover, its convergence analysis is shown by using interpolation properties through some theorems and lemmas. Also, some examples are given and the results are compared with their exact solutions to demonstrate the reliability and capability of this algorithm.http://www.sciencedirect.com/science/article/pii/S2590037424000827Nonlinear Volterra integral equations of the third kindDelay integral equationsLegendre collocation method |
| spellingShingle | Rohollah Ghaedi Ghalini Esmail Hesameddini Hojatollah Laeli Dastjerdi A capable numerical scheme for solving nonlinear Volterra delay integral equations of the third kind Results in Applied Mathematics Nonlinear Volterra integral equations of the third kind Delay integral equations Legendre collocation method |
| title | A capable numerical scheme for solving nonlinear Volterra delay integral equations of the third kind |
| title_full | A capable numerical scheme for solving nonlinear Volterra delay integral equations of the third kind |
| title_fullStr | A capable numerical scheme for solving nonlinear Volterra delay integral equations of the third kind |
| title_full_unstemmed | A capable numerical scheme for solving nonlinear Volterra delay integral equations of the third kind |
| title_short | A capable numerical scheme for solving nonlinear Volterra delay integral equations of the third kind |
| title_sort | capable numerical scheme for solving nonlinear volterra delay integral equations of the third kind |
| topic | Nonlinear Volterra integral equations of the third kind Delay integral equations Legendre collocation method |
| url | http://www.sciencedirect.com/science/article/pii/S2590037424000827 |
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