A Numerical Iterative Method for Solving Systems of First-Order Periodic Boundary Value Problems
Joint Authors
al-Smadi, Mohammed
El-Ajou, Ahmad
Abu Arqub, Omar
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-25
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
al-Smadi, Mohammed& Abu Arqub, Omar& El-Ajou, Ahmad. 2014. A Numerical Iterative Method for Solving Systems of First-Order Periodic Boundary Value Problems. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-448483
Modern Language Association (MLA)
al-Smadi, Mohammed…[et al.]. A Numerical Iterative Method for Solving Systems of First-Order Periodic Boundary Value Problems. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-448483
American Medical Association (AMA)
al-Smadi, Mohammed& Abu Arqub, Omar& El-Ajou, Ahmad. A Numerical Iterative Method for Solving Systems of First-Order Periodic Boundary Value Problems. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-448483
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-448483