An Efficient Zero-Stable Numerical Method for Fourth-Order Differential Equations

S. J. Kayode

International Journal of Mathematics and Mathematical Sciences, 2008, vol. 2008, 1-10

Abstract:

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 ð ‘ = 6 . The main predictor for the method is also consistent, symmetric, zero-stable, and of optimal order ð ‘ = 6 .

Date: 2008
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2008/364021.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2008/364021.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:364021

DOI: 10.1155/2008/364021

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().