In this paper, we propose an explicit time-stepping scheme for the pattern formation in reaction–diffusion systems on evolving surfaces.
In this paper, we propose an explicit time-stepping scheme for the pattern formation in reaction–diffusion systems on evolving surfaces.
Two alternative integral formulations of the Laplace-Beltrami problem are presented, each of whose solution can be obtained via FMM acceleration, ...
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Jun 7, 2023 · In this thesis we investigate a model for biological pattern formation during growth development. The pattern formation phenomenon is ...
A common way to model these patterns is through reaction-diffusion systems of partial differential equations. This thesis relays results obtained studying such ...
To exhibit these patterns we employ the finite element method for solving reaction-diffusion systems with cross-diffusion on continuously evolving domains and ...
In this article we propose models and a numerical method for pattern formation on evolving curved surfaces. We formulate reaction-diffusion equations on ...
Reaction-diffusion systems on evolving surfaces. Reaction-Diffusion Systems ... element method for pattern formation on evolving biological surfaces.
Oct 28, 2019 · We propose a numerical scheme based on the principles of Isogeometric Analysis (IgA) for a geometrical pattern formation induced evolution of manifolds.
In this article we propose models and a numerical method for pattern formation on evolving curved surfaces. We formulate reaction-diffusion equations on ...