Mitacs Globalink Research Internship Report: Reaction-diffusion systems with anomalous diffusion
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Mitacs Globalink Research Internship Report: Reaction-diffusion systems with anomalous diffusion
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Author (aut): Ortiz Gil, Juan Pablo
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The Gierer-Meinhardt system is a seminal reaction-diffusion model. This study aims to devise a numerical scheme for the long time simulation of the sub-diffusive variant (system with a memory effect) with a controlled precision and compare full numerical and asymptotical results. For the normal diffusion counterpart a good match between the two was demonstrated about 30 years ago. These two documents are work in progress student reports and will become viewable upon an acceptance of a peer-reviewed publication. |
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Keywords
sub-diffusion
Gierer-Meinhardt kinetics
computational modeling
numerical approximation
drifting
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Author (aut): Nehemie Nguimbous
Author (aut): Ortiz Gil, Juan Pablo
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Abstract
The Gierer-Meinhardt system is a seminal reaction-diffusion model. This study aims to devise a numerical scheme for the long time simulation of the sub-diffusive variant (system with a memory effect) with a controlled precision and compare full numerical and asymptotical results. For the normal diffusion counterpart a good match between the two was demonstrated about 30 years ago. These two documents are work in progress student reports and will become viewable upon an acceptance of a peer-reviewed publication. |
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