A Novel Method for Solving Nonlinear Volterra Integro-Differential Equation Systems

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...

Full description

Bibliographic Details
Main Authors: Mohammad Hossein Daliri Birjandi, Jafar Saberi-Nadjafi, Asghar Ghorbani
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2018/3569139
id doaj-3a84efb71a204211963c65e231538995
record_format Article
spelling doaj-3a84efb71a204211963c65e2315389952020-11-25T00:27:33ZengHindawi LimitedAbstract 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
collection DOAJ
language English
format Article
sources DOAJ
author Mohammad Hossein Daliri Birjandi
Jafar Saberi-Nadjafi
Asghar Ghorbani
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
author_facet Mohammad Hossein Daliri Birjandi
Jafar Saberi-Nadjafi
Asghar Ghorbani
author_sort Mohammad Hossein Daliri Birjandi
title 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_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_sort novel method for solving nonlinear volterra integro-differential equation systems
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2018-01-01
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.
url http://dx.doi.org/10.1155/2018/3569139
work_keys_str_mv AT mohammadhosseindaliribirjandi anovelmethodforsolvingnonlinearvolterraintegrodifferentialequationsystems
AT jafarsaberinadjafi anovelmethodforsolvingnonlinearvolterraintegrodifferentialequationsystems
AT asgharghorbani anovelmethodforsolvingnonlinearvolterraintegrodifferentialequationsystems
AT mohammadhosseindaliribirjandi novelmethodforsolvingnonlinearvolterraintegrodifferentialequationsystems
AT jafarsaberinadjafi novelmethodforsolvingnonlinearvolterraintegrodifferentialequationsystems
AT asgharghorbani novelmethodforsolvingnonlinearvolterraintegrodifferentialequationsystems
_version_ 1725339037077602304

Similar Items