A Stable Numerical Scheme for a Lengyel-Epstein Reaction Diffusion Model.

We study a reaction diffusion Lengyel-Epstein system, which describes the formation of chemical Turing patterns. An unconditionally stable semi-implicit difference scheme is proposed for the system. It is proven that the numerical scheme is uniquely solvable and inherits the properties of the origin...

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Detalles Bibliográficos
Publicado en:	Journal of the Utah Academy of Sciences, Arts & Letters Vol. 102; p. 383
Autor principal:	Han, Jianlong
Formato:	Artículo
Publicado:	Utah Academy of Sciences, Arts & Letters 2025
Materias:	Reaction-diffusion equations Finite difference method Equilibrium Discretization methods Stability theory Pattern formation (Physical sciences)
Acceso en línea:	Ver este registro en EBSCOhost

Descripción
Sumario:	We study a reaction diffusion Lengyel-Epstein system, which describes the formation of chemical Turing patterns. An unconditionally stable semi-implicit difference scheme is proposed for the system. It is proven that the numerical scheme is uniquely solvable and inherits the properties of the original system. The long-term behavior of the numerical solution is analyzed.