Direct Two-Point Block One-Step Method for Solving General Second-Order Ordinary Differential Equations
Joint Authors
Abdul Majid, Zanariah
Mokhtar, Nur Zahidah
Bin Suleiman, Mohamed
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-30
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
A direct two-point block one-step method for solving general second-order ordinary differential equations (ODEs) directly is presented in this paper.
The one-step block method will solve the second-order ODEs without reducing to first-order equations.
The direct solutions of the general second-order ODEs will be calculated at two points simultaneously using variable step size.
The method is formulated using the linear multistep method, but the new method possesses the desirable feature of the one-step method.
The implementation is based on the predictor and corrector formulas in the PE(CE)m mode.
The stability and precision of this method will also be analyzed and deliberated.
Numerical results are given to show the efficiency of the proposed method and will be compared with the existing method.
American Psychological Association (APA)
Abdul Majid, Zanariah& Mokhtar, Nur Zahidah& Bin Suleiman, Mohamed. 2012. Direct Two-Point Block One-Step Method for Solving General Second-Order Ordinary Differential Equations. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-1001389
Modern Language Association (MLA)
Abdul Majid, Zanariah…[et al.]. Direct Two-Point Block One-Step Method for Solving General Second-Order Ordinary Differential Equations. Mathematical Problems in Engineering No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-1001389
American Medical Association (AMA)
Abdul Majid, Zanariah& Mokhtar, Nur Zahidah& Bin Suleiman, Mohamed. Direct Two-Point Block One-Step Method for Solving General Second-Order Ordinary Differential Equations. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-1001389
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001389