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3-Point Block Methods for Direct Integration of General Second-Order Ordinary Differential Equations
Joint Authors
Ehigie, J. O.
Sofoluwe, A. B.
Okunuga, S. A.
Source
Advances in Numerical Analysis
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-03
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A Multistep collocation techniques is used in this paper to develop a 3-point explicit and implicit block methods, which are suitable for generating solutions of the general second-order ordinary differential equations of the form y′′=f(x,y,y′), y(x0)=a, y′(x0)=b.
The derivation of both explicit and implicit block schemes is given for the purpose of comparison of results.
The Stability and Convergence of the individual methods of the block schemes are investigated, and the methods are found to be 0-stable with good region of absolute stability.
The 3-point block schemes derived are tested on standard mechanical problems, and it is shown that the implicit block methods are superior to the explicit ones in terms of accuracy.
American Psychological Association (APA)
Ehigie, J. O.& Okunuga, S. A.& Sofoluwe, A. B.. 2011. 3-Point Block Methods for Direct Integration of General Second-Order Ordinary Differential Equations. Advances in Numerical Analysis،Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-477574
Modern Language Association (MLA)
Ehigie, J. O.…[et al.]. 3-Point Block Methods for Direct Integration of General Second-Order Ordinary Differential Equations. Advances in Numerical Analysis No. 2011 (2011), pp.1-14.
https://search.emarefa.net/detail/BIM-477574
American Medical Association (AMA)
Ehigie, J. O.& Okunuga, S. A.& Sofoluwe, A. B.. 3-Point Block Methods for Direct Integration of General Second-Order Ordinary Differential Equations. Advances in Numerical Analysis. 2011. Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-477574
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477574