A Reliable Analytical Method for Solving Higher-Order Initial Value Problems
Joint Authors
al-Badarneh, Ramzi
Abu Arqub, Omar
Momani, Shaher M.
Abo-Hammour, Zaer
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-02
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this article, a new analytical method has been devised to solve higher-order initial value problems for ordinary differential equations.
This method was implemented to construct a series solution for higher-order initial value problems in the form of a rapidly convergent series with easily computable components using symbolic computation software.
The proposed method is based on the Taylor series expansion which constructs an analytical solution in the form of a polynomial and reproduces the exact solution when the solution is polynomial.
This technique is applied to a few test examples to illustrate the accuracy, efficiency, and applicability of the method.
The results reveal that the method is very effective, straightforward, and simple.
American Psychological Association (APA)
Abu Arqub, Omar& Abo-Hammour, Zaer& al-Badarneh, Ramzi& Momani, Shaher M.. 2013. A Reliable Analytical Method for Solving Higher-Order Initial Value Problems. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-489437
Modern Language Association (MLA)
Abu Arqub, Omar…[et al.]. A Reliable Analytical Method for Solving Higher-Order Initial Value Problems. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-489437
American Medical Association (AMA)
Abu Arqub, Omar& Abo-Hammour, Zaer& al-Badarneh, Ramzi& Momani, Shaher M.. A Reliable Analytical Method for Solving Higher-Order Initial Value Problems. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-489437
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489437