Interval Arithmetic for Nonlinear Problem Solving
Author
Source
International Journal of Engineering Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-13
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Engineering Sciences and Information Technology
Civil Engineering
Abstract EN
Implementation of interval arithmetic in complex problems has been hampered by the tedious programming exercise needed to develop a particular implementation.
In order to improve productivity, the use of interval mathematics is demonstrated using the computing platform INTLAB that allows for the development of interval-arithmetic-based programs more efficiently than with previous interval-arithmetic libraries.
An interval-Newton Generalized-Bisection (IN/GB) method is developed in this platform and applied to determine the solutions of selected nonlinear problems.
Cases 1 and 2 demonstrate the effectiveness of the implementation applied to traditional polynomial problems.
Case 3 demonstrates the robustness of the implementation in the case of multiple specific volume solutions.
Case 4 exemplifies the robustness and effectiveness of the implementation in the determination of multiple critical points for a mixture of methane and hydrogen sulfide.
The examples demonstrate the effectiveness of the method by finding all existing roots with mathematical certainty.
American Psychological Association (APA)
Stradi-Granados, Benito A.. 2013. Interval Arithmetic for Nonlinear Problem Solving. International Journal of Engineering Mathematics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-497247
Modern Language Association (MLA)
Stradi-Granados, Benito A.. Interval Arithmetic for Nonlinear Problem Solving. International Journal of Engineering Mathematics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-497247
American Medical Association (AMA)
Stradi-Granados, Benito A.. Interval Arithmetic for Nonlinear Problem Solving. International Journal of Engineering Mathematics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-497247
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497247