An Accurate Block Hybrid Collocation Method for Third Order Ordinary Differential Equations
Joint Authors
Senu, Norazak
Yap, Lee Ken
Ismail, Fudzliah
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-27
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The block hybrid collocation method with two off-step points is proposed for the direct solution of general third order ordinary differential equations.
Both the main and additional methods are derived via interpolation and collocation of the basic polynomial.
These methods are applied in block form to provide the approximation at five points concurrently.
The stability properties of the block method are investigated.
Some numerical examples are tested to illustrate the efficiency of the method.
The block hybrid collocation method is also implemented to solve the nonlinear Genesio equation and the problem in thin film flow.
American Psychological Association (APA)
Yap, Lee Ken& Ismail, Fudzliah& Senu, Norazak. 2014. An Accurate Block Hybrid Collocation Method for Third Order Ordinary Differential Equations. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-480682
Modern Language Association (MLA)
Yap, Lee Ken…[et al.]. An Accurate Block Hybrid Collocation Method for Third Order Ordinary Differential Equations. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-480682
American Medical Association (AMA)
Yap, Lee Ken& Ismail, Fudzliah& Senu, Norazak. An Accurate Block Hybrid Collocation Method for Third Order Ordinary Differential Equations. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-480682
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480682