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Sobolev Gradient Approach for Huxley and Fisher Models for Gene Propagation
Department of Mathematics, University of the Punjab, Lahore, Pakistan;Department of Mathematics and Statistics, McMaster University, Hamilton, Canada
Department of Mathematics, Lahore University of Management Sciences, Lahore, Pakistan
- 1 Department of Mathematics, University of the Punjab, Lahore, Pakistan;Department of Mathematics and Statistics, McMaster University, Hamilton, Canada
- 2 Department of Mathematics, Lahore University of Management Sciences, Lahore, Pakistan
Applied Mathematics·Volume 04 (2013)·Pages 1212–1219·Published 23 July 2013·DOI10.4236/am.2013.48163
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Abstract
The application of Sobolev gradient methods for finding critical points of the Huxley and Fisher models is demonstrated. A comparison is given between the Euclidean, weighted and unweighted Sobolev gradients. Results are given for the one dimensional Huxley and Fisher models.
KeywordsSobolev GradientHuxley and Fisher ModelsDescent Methods
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