A Novel Method for Solving Nonlinear Volterra Integro-Differential Equation Systems
An efficient iteration method is introduced and used for solving a type of system of nonlinear Volterra integro-differential equations. The scheme is based on a combination of the spectral collocation technique and the parametric iteration method. This method is easy to implement and requires no ted...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2018/3569139 |
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| _version_ | 1832560374759555072 |
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| author | Mohammad Hossein Daliri Birjandi Jafar Saberi-Nadjafi Asghar Ghorbani |
| author_facet | Mohammad Hossein Daliri Birjandi Jafar Saberi-Nadjafi Asghar Ghorbani |
| author_sort | Mohammad Hossein Daliri Birjandi |
| collection | DOAJ |
| description | An efficient iteration method is introduced and used for solving a type of system of nonlinear Volterra integro-differential equations. The scheme is based on a combination of the spectral collocation technique and the parametric iteration method. This method is easy to implement and requires no tedious computational work. Some numerical examples are presented to show the validity and efficiency of the proposed method in comparison with the corresponding exact solutions. |
| format | Article |
| id | doaj-art-3a84efb71a204211963c65e231538995 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3a84efb71a204211963c65e2315389952025-02-03T01:27:39ZengWileyAbstract and Applied Analysis1085-33751687-04092018-01-01201810.1155/2018/35691393569139A Novel Method for Solving Nonlinear Volterra Integro-Differential Equation SystemsMohammad Hossein Daliri Birjandi0Jafar Saberi-Nadjafi1Asghar 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, IranAn efficient iteration method is introduced and used for solving a type of system of nonlinear Volterra integro-differential equations. The scheme is based on a combination of the spectral collocation technique and the parametric iteration method. This method is easy to implement and requires no tedious computational work. Some numerical examples are presented to show the validity and efficiency of the proposed method in comparison with the corresponding exact solutions.http://dx.doi.org/10.1155/2018/3569139 |
| spellingShingle | Mohammad Hossein Daliri Birjandi Jafar Saberi-Nadjafi Asghar Ghorbani A Novel Method for Solving Nonlinear Volterra Integro-Differential Equation Systems Abstract and Applied Analysis |
| title | A Novel Method for Solving Nonlinear Volterra Integro-Differential Equation Systems |
| title_full | A Novel Method for Solving Nonlinear Volterra Integro-Differential Equation Systems |
| title_fullStr | A Novel Method for Solving Nonlinear Volterra Integro-Differential Equation Systems |
| title_full_unstemmed | A Novel Method for Solving Nonlinear Volterra Integro-Differential Equation Systems |
| title_short | A Novel Method for Solving Nonlinear Volterra Integro-Differential Equation Systems |
| title_sort | novel method for solving nonlinear volterra integro differential equation systems |
| url | http://dx.doi.org/10.1155/2018/3569139 |
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