Solveig T.Numerical Method and Step Size Variation in the Lorenz Equations

Honors College Thesis

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Citeable URL: https://ir.library.oregonstate.edu/concern/honors_college_theses/2j62s697c

Descriptions

Attribute Name	Values
Creator	Mueller, Solveig T.
Abstract	The relative accuracy of solutions to chaotic systems was examined using the Lorenz system as a case study. The classical fourth order Runge-Kutta method was employed to generate solutions using various step sizes, and the resultant solutions were compared. A second set of solutions was then computed using one of the second order Runge-Kutta methods and the same range of step sizes as before. The resultant data suggest that shortterm accuracy can be significantly increased by decreasing the step size of the numerical method, and a more accurate method similarly increases short-term accuracy. As expected, the long-term solutions eventually diverge; the qualitative behavior of these long-term solutions is still evident regardless of the step size or the method used.
License	All rights reserved
Resource Type	Honors College Thesis
Date Available	2011-11-04T23:02:23+00:00
Date Issued	2011-05-19
Degree Level	Bachelor's
Degree Name	Honors Bachelor of Science (H.B.S.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	2011
Advisor	Higdon, Robert
Non-Academic Affiliation	Oregon State University. Honors College
Rights Statement	In Copyright
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Replaces	http://hdl.handle.net/1957/25245

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