A Computational Study of the Boundary Value Methods and the Block Unification Methods for y ″ = f ( x , y , y ′ )
Author
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-04-11
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We derive a new class of linear multistep methods (LMMs) via the interpolation and collocation technique.
We discuss the use of these methods as boundary value methods and block unification methods for the numerical approximation of the general second-order initial and boundary value problems.
The convergence of these families of methods is also established.
Several test problems are given to show a computational comparison of these methods in terms of accuracy and the computational efficiency.
American Psychological Association (APA)
Biala, T. A.. 2016. A Computational Study of the Boundary Value Methods and the Block Unification Methods for y ″ = f ( x , y , y ′ ). Abstract and Applied Analysis،Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1094774
Modern Language Association (MLA)
Biala, T. A.. A Computational Study of the Boundary Value Methods and the Block Unification Methods for y ″ = f ( x , y , y ′ ). Abstract and Applied Analysis No. 2016 (2016), pp.1-14.
https://search.emarefa.net/detail/BIM-1094774
American Medical Association (AMA)
Biala, T. A.. A Computational Study of the Boundary Value Methods and the Block Unification Methods for y ″ = f ( x , y , y ′ ). Abstract and Applied Analysis. 2016. Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1094774
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1094774