A Numerical Iterative Method for Solving Systems of First-Order Periodic Boundary Value Problems
The objective of this paper is to present a numerical iterative method for solving systems of first-order ordinary differential equations subject to periodic boundary conditions. This iterative technique is based on the use of the reproducing kernel Hilbert space method in which every function satis...
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2014/135465 |
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doaj-126f59ba2b8f4ed39d8b172faa055a412020-11-24T20:42:48ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/135465135465A Numerical Iterative Method for Solving Systems of First-Order Periodic Boundary Value ProblemsMohammed AL-Smadi0Omar Abu Arqub1Ahmad El-Ajou2Applied Science Department, Ajloun College, Al-Balqa Applied University, Ajloun 26816, JordanDepartment of Mathematics, Al-Balqa Applied University, Salt 19117, JordanDepartment of Mathematics, Al-Balqa Applied University, Salt 19117, JordanThe objective of this paper is to present a numerical iterative method for solving systems of first-order ordinary differential equations subject to periodic boundary conditions. This iterative technique is based on the use of the reproducing kernel Hilbert space method in which every function satisfies the periodic boundary conditions. The present method is accurate, needs less effort to achieve the results, and is especially developed for nonlinear case. Furthermore, the present method enables us to approximate the solutions and their derivatives at every point of the range of integration. Indeed, three numerical examples are provided to illustrate the effectiveness of the present method. Results obtained show that the numerical scheme is very effective and convenient for solving systems of first-order ordinary differential equations with periodic boundary conditions.http://dx.doi.org/10.1155/2014/135465 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Mohammed AL-Smadi Omar Abu Arqub Ahmad El-Ajou |
spellingShingle |
Mohammed AL-Smadi Omar Abu Arqub Ahmad El-Ajou A Numerical Iterative Method for Solving Systems of First-Order Periodic Boundary Value Problems Journal of Applied Mathematics |
author_facet |
Mohammed AL-Smadi Omar Abu Arqub Ahmad El-Ajou |
author_sort |
Mohammed AL-Smadi |
title |
A Numerical Iterative Method for Solving Systems of First-Order Periodic Boundary Value Problems |
title_short |
A Numerical Iterative Method for Solving Systems of First-Order Periodic Boundary Value Problems |
title_full |
A Numerical Iterative Method for Solving Systems of First-Order Periodic Boundary Value Problems |
title_fullStr |
A Numerical Iterative Method for Solving Systems of First-Order Periodic Boundary Value Problems |
title_full_unstemmed |
A Numerical Iterative Method for Solving Systems of First-Order Periodic Boundary Value Problems |
title_sort |
numerical iterative method for solving systems of first-order periodic boundary value problems |
publisher |
Hindawi Limited |
series |
Journal of Applied Mathematics |
issn |
1110-757X 1687-0042 |
publishDate |
2014-01-01 |
description |
The objective of this paper is to present a numerical iterative method for solving systems of first-order ordinary differential equations subject to periodic boundary conditions. This iterative technique is based on the use of the reproducing kernel Hilbert space method in which every function satisfies the periodic boundary conditions. The present method is accurate, needs less effort to achieve the results, and is especially developed for nonlinear case. Furthermore, the present method enables us to approximate the solutions and their derivatives at every point of the range of integration. Indeed, three numerical examples are provided to illustrate the effectiveness of the present method. Results obtained show that the numerical scheme is very effective and convenient for solving systems of first-order ordinary differential equations with periodic boundary conditions. |
url |
http://dx.doi.org/10.1155/2014/135465 |
work_keys_str_mv |
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1716821701597069312 |