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Solution of Higher-Order ODEs Using Backward Difference Method
Joint Authors
Bin Rasedee, Ahmad Fadly Nurullah
Binti Ibrahim, Zarina Bibi
Bin Suleiman, Mohamed
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-12
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
The current numerical technique for solving a system of higher-order ordinary differential equations (ODEs) is to reduce it to a system of first-order equations then solving it using first-order ODE methods.
Here, we propose a method to solve higher-order ODEs directly.
The formulae will be derived in terms of backward difference in a constant stepsize formulation.
The method developed will be validated by solving some higher-order ODEs directly with constant stepsize.
To simplify the evaluations of the integration coefficients, we find the relationship between various orders.
The result presented confirmed our hypothesis.
American Psychological Association (APA)
Bin Suleiman, Mohamed& Binti Ibrahim, Zarina Bibi& Bin Rasedee, Ahmad Fadly Nurullah. 2011. Solution of Higher-Order ODEs Using Backward Difference Method. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-18.
https://search.emarefa.net/detail/BIM-499898
Modern Language Association (MLA)
Bin Suleiman, Mohamed…[et al.]. Solution of Higher-Order ODEs Using Backward Difference Method. Mathematical Problems in Engineering No. 2011 (2011), pp.1-18.
https://search.emarefa.net/detail/BIM-499898
American Medical Association (AMA)
Bin Suleiman, Mohamed& Binti Ibrahim, Zarina Bibi& Bin Rasedee, Ahmad Fadly Nurullah. Solution of Higher-Order ODEs Using Backward Difference Method. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-18.
https://search.emarefa.net/detail/BIM-499898
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499898