Approximation of continuous surface differential operators with the generalized moving least-squares (GMLS) method for solving reaction-diffusion equation

DOI10.1007/s40314-018-0716-1zbMath1413.65381OpenAlexW2900375251WikidataQ115373862 ScholiaQ115373862MaRDI QIDQ1715744

Niusha Narimani, Mehdi Dehghan

Publication date: 29 January 2019

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-018-0716-1

zbMATH Keywords

Runge-Kutta time discretizationbiological pattern formationgeneralized moving least-squares approximationprojected gradient of the shape functionsspiral wave patterns in excitable mediaspot and stripe patternsTuring and Fitzhugh-Nagumo models

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Uses Software

• Matlab

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