An Efficient Numerical Method for a Class of Nonlinear Volterra Integro-Differential Equations
We investigate an efficient numerical method for solving a class of nonlinear Volterra integro-differential equations, which is a combination of the parametric iteration method and the spectral collocation method. The implementation of the modified method is demonstrated by solving several nonlinear...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2018/7461058 |
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| author | M. H. Daliri Birjandi J. Saberi-Nadjafi A. Ghorbani |
| author_facet | M. H. Daliri Birjandi J. Saberi-Nadjafi A. Ghorbani |
| author_sort | M. H. Daliri Birjandi |
| collection | DOAJ |
| description | We investigate an efficient numerical method for solving a class of nonlinear Volterra integro-differential equations, which is a combination of the parametric iteration method and the spectral collocation method. The implementation of the modified method is demonstrated by solving several nonlinear Volterra integro-differential equations. The results reveal that the developed method is easy to implement and avoids the additional computational work. Furthermore, the method is a promising approximate tool to solve this class of nonlinear equations and provides us with a convenient way to control and modify the convergence rate of the solution. |
| format | Article |
| id | doaj-art-0fc387eb88674bc68cc543171d0ea11d |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-0fc387eb88674bc68cc543171d0ea11d2025-08-20T03:54:20ZengWileyJournal of Applied Mathematics1110-757X1687-00422018-01-01201810.1155/2018/74610587461058An Efficient Numerical Method for a Class of Nonlinear Volterra Integro-Differential EquationsM. H. Daliri Birjandi0J. Saberi-Nadjafi1A. Ghorbani2Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, IranDepartment of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, IranDepartment of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, IranWe investigate an efficient numerical method for solving a class of nonlinear Volterra integro-differential equations, which is a combination of the parametric iteration method and the spectral collocation method. The implementation of the modified method is demonstrated by solving several nonlinear Volterra integro-differential equations. The results reveal that the developed method is easy to implement and avoids the additional computational work. Furthermore, the method is a promising approximate tool to solve this class of nonlinear equations and provides us with a convenient way to control and modify the convergence rate of the solution.http://dx.doi.org/10.1155/2018/7461058 |
| spellingShingle | M. H. Daliri Birjandi J. Saberi-Nadjafi A. Ghorbani An Efficient Numerical Method for a Class of Nonlinear Volterra Integro-Differential Equations Journal of Applied Mathematics |
| title | An Efficient Numerical Method for a Class of Nonlinear Volterra Integro-Differential Equations |
| title_full | An Efficient Numerical Method for a Class of Nonlinear Volterra Integro-Differential Equations |
| title_fullStr | An Efficient Numerical Method for a Class of Nonlinear Volterra Integro-Differential Equations |
| title_full_unstemmed | An Efficient Numerical Method for a Class of Nonlinear Volterra Integro-Differential Equations |
| title_short | An Efficient Numerical Method for a Class of Nonlinear Volterra Integro-Differential Equations |
| title_sort | efficient numerical method for a class of nonlinear volterra integro differential equations |
| url | http://dx.doi.org/10.1155/2018/7461058 |
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