Numerical Solution of Nonlinear Volterra Integral Equations System Using Simpson’s 3/8 Rule

Numerical Solution of Nonlinear Volterra Integral Equations System Using Simpson’s 3/8 Rule

The Simpson’s 3/8 rule is used to solve the nonlinear Volterra integral equations system. Using this rule the system is converted to a nonlinear block system and then by solving this nonlinear system we find approximate solution of nonlinear Volterra integral equations system. One of the advantages...

Full description

Bibliographic Details
Main Authors: Adem Kılıçman, L. Kargaran Dehkordi, M. Tavassoli Kajani
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2012/603463
id doaj-49ffae39decf47afb009f55efc56103a
record_format Article
spelling doaj-49ffae39decf47afb009f55efc56103a2020-11-24T22:05:39ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472012-01-01201210.1155/2012/603463603463Numerical Solution of Nonlinear Volterra Integral Equations System Using Simpson’s 3/8 RuleAdem Kılıçman0L. Kargaran Dehkordi1M. Tavassoli Kajani2Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 Serdang, MalaysiaDepartment of Mathematics, Islamic Azad University, Khorasgan Branch, Isfahan 81595-158, IranDepartment of Mathematics, Islamic Azad University, Khorasgan Branch, Isfahan 81595-158, IranThe Simpson’s 3/8 rule is used to solve the nonlinear Volterra integral equations system. Using this rule the system is converted to a nonlinear block system and then by solving this nonlinear system we find approximate solution of nonlinear Volterra integral equations system. One of the advantages of the proposed method is its simplicity in application. Further, we investigate the convergence of the proposed method and it is shown that its convergence is of order O(h4). Numerical examples are given to show abilities of the proposed method for solving linear as well as nonlinear systems. Our results show that the proposed method is simple and effective.http://dx.doi.org/10.1155/2012/603463
collection DOAJ
language English
format Article
sources DOAJ
author Adem Kılıçman
L. Kargaran Dehkordi
M. Tavassoli Kajani
spellingShingle Adem Kılıçman
L. Kargaran Dehkordi
M. Tavassoli Kajani
Numerical Solution of Nonlinear Volterra Integral Equations System Using Simpson’s 3/8 Rule
Mathematical Problems in Engineering
author_facet Adem Kılıçman
L. Kargaran Dehkordi
M. Tavassoli Kajani
author_sort Adem Kılıçman
title Numerical Solution of Nonlinear Volterra Integral Equations System Using Simpson’s 3/8 Rule
title_short Numerical Solution of Nonlinear Volterra Integral Equations System Using Simpson’s 3/8 Rule
title_full Numerical Solution of Nonlinear Volterra Integral Equations System Using Simpson’s 3/8 Rule
title_fullStr Numerical Solution of Nonlinear Volterra Integral Equations System Using Simpson’s 3/8 Rule
title_full_unstemmed Numerical Solution of Nonlinear Volterra Integral Equations System Using Simpson’s 3/8 Rule
title_sort numerical solution of nonlinear volterra integral equations system using simpson’s 3/8 rule
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2012-01-01
description The Simpson’s 3/8 rule is used to solve the nonlinear Volterra integral equations system. Using this rule the system is converted to a nonlinear block system and then by solving this nonlinear system we find approximate solution of nonlinear Volterra integral equations system. One of the advantages of the proposed method is its simplicity in application. Further, we investigate the convergence of the proposed method and it is shown that its convergence is of order O(h4). Numerical examples are given to show abilities of the proposed method for solving linear as well as nonlinear systems. Our results show that the proposed method is simple and effective.
url http://dx.doi.org/10.1155/2012/603463
work_keys_str_mv AT ademkılıcman numericalsolutionofnonlinearvolterraintegralequationssystemusingsimpsons38rule
AT lkargarandehkordi numericalsolutionofnonlinearvolterraintegralequationssystemusingsimpsons38rule
AT mtavassolikajani numericalsolutionofnonlinearvolterraintegralequationssystemusingsimpsons38rule
_version_ 1725825320382103552

Similar Items