A Quantitative Comparison of Numerical Method for Solving Stiff Ordinary Differential Equations
Joint Authors
Yatim, S. A. M.
Ibrahim, Z. B.
Othman, K. I.
Suleiman, M. B.
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-04
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We derive a variable step of the implicit block methods based on the backward differentiation formulae (BDF) for solving stiff initial value problems (IVPs).
A simplified strategy in controlling the step size is proposed with the aim of optimizing the performance in terms of precision and computation time.
The numerical results obtained support the enhancement of the method proposed as compared to MATLAB's suite of ordinary differential equations (ODEs) solvers, namely, ode15s and ode23s.
American Psychological Association (APA)
Yatim, S. A. M.& Ibrahim, Z. B.& Othman, K. I.& Suleiman, M. B.. 2011. A Quantitative Comparison of Numerical Method for Solving Stiff Ordinary Differential Equations. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-453440
Modern Language Association (MLA)
Yatim, S. A. M.…[et al.]. A Quantitative Comparison of Numerical Method for Solving Stiff Ordinary Differential Equations. Mathematical Problems in Engineering No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-453440
American Medical Association (AMA)
Yatim, S. A. M.& Ibrahim, Z. B.& Othman, K. I.& Suleiman, M. B.. A Quantitative Comparison of Numerical Method for Solving Stiff Ordinary Differential Equations. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-453440
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453440
