Finite Elements and Practical Error Analysis of Huxley and EFK Equations
Bowling Green State University / OhioLINK, 2008
Hochschulschrift
Zugriff:
In this dissertation, long time error estimates are obtained using non-traditional methods for the Hodgkin-Huxley equationut + uxx = u(1-u)(u-a) for a ∈ (0,1/2)ut + γ u xxxx - uxx = u-u3Traditional methods for analyzing exact error propagation depends on the stability of thenumerical method employed. Whereas, in this dissertation the analysis of the exact error propagationuses evolving attractors and only depends on the stability of the dynamical system. The use of the smoothingindicator yields a posteriori estimates on the numerical error instead of a priori estimates.
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Finite Elements and Practical Error Analysis of Huxley and EFK Equations
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Autor/in / Beteiligte Person: | Attanayake, Champike |
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Veröffentlichung: | Bowling Green State University / OhioLINK, 2008 |
Medientyp: | Hochschulschrift |
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