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A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces

In this paper, we present a method based on Radial Basis Function (RBF)-generated Finite Differences (FD) for numerically solving diffusion and reaction-diffusion equations (PDEs) on closed surfaces embedded in ℝ(d). Our method uses a method-of-lines formulation, in which surface derivatives that ap...

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Bibliografiske detaljer
Udgivet i:J Sci Comput
Main Authors: Shankar, Varun, Wright, Grady B., Kirby, Robert M., Fogelson, Aaron L.
Format: Artigo
Sprog:Inglês
Udgivet: 2014
Fag:
Online adgang:https://ncbi.nlm.nih.gov/pmc/articles/PMC4428618/
https://ncbi.nlm.nih.gov/pubmed/25983388
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1007/s10915-014-9914-1
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