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28th Southeastern-Atlantic Regional Conference on Differential Equations
October 10-11, 2008
University of Arkansas at Little Rock
Little Rock Arkansas, USA |
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Organizers
Eric R. Kaufmann, Nickolai Kosmatov
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Practical Error Analysis of Numerical Solutions to the Huxley's Equation
by
Champike Attanayake
Miami University, MIddletown OH 45042
In this talk, I like to discuss, how long time error estimates are obtained using non-traditional methods for the Huxley's equation
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ut-uxx = u(1-u)(u-a) for 0 < a < 1/2. |
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Traditional methods for analyzing exact error propagation depends on the stability of the
numerical method employed. Whereas, in this talk the analysis of the exact error propagation
uses evolving attractors and only depends on the stability of the dynamical system.
The use of the smoothing
indicator yields a posteriori estimates on the numerical error
instead of a priori estimates.
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Date received: September 7, 2008
Copyright © 2008 by the author(s).
The author(s) of this document and the organizers of the conference
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Atlas Conferences Inc.
Document # caww-23.