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An Efficient Zero-Stable Numerical Method for Fourth-Order Differential Equations
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-05-22
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The purpose of this paper is to produce an efficient zero-stable numerical method with the same order of accuracy as that of the main starting values (predictors) for direct solution of fourth-order differential equations without reducing it to a system of first-order equations.
The method of collocation of the differential system arising from the approximate solution to the problem is adopted using the power series as a basis function.
The method is consistent, symmetric, and of optimal order p = 6 .
The main predictor for the method is also consistent, symmetric, zero-stable, and of optimal order p = 6 .
American Psychological Association (APA)
Kayode, S. J.. 2008. An Efficient Zero-Stable Numerical Method for Fourth-Order Differential Equations. International Journal of Mathematics and Mathematical Sciences،Vol. 2008, no. 2008, pp.1-10.
https://search.emarefa.net/detail/BIM-987888
Modern Language Association (MLA)
Kayode, S. J.. An Efficient Zero-Stable Numerical Method for Fourth-Order Differential Equations. International Journal of Mathematics and Mathematical Sciences No. 2008 (2008), pp.1-10.
https://search.emarefa.net/detail/BIM-987888
American Medical Association (AMA)
Kayode, S. J.. An Efficient Zero-Stable Numerical Method for Fourth-Order Differential Equations. International Journal of Mathematics and Mathematical Sciences. 2008. Vol. 2008, no. 2008, pp.1-10.
https://search.emarefa.net/detail/BIM-987888
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-987888