Maximum principles for discrete and semidiscrete reaction-diffusion equation

DOI10.1155/2015/791304zbMath1418.35238OpenAlexW1939601086WikidataQ59105446 ScholiaQ59105446MaRDI QIDQ1723509

Petr Stehlík, Jonáš Volek

Publication date: 19 February 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/791304

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Maximum principles in context of PDEs (35B50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (12)

Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations ⋮ Travelling waves for adaptive grid discretizations of reaction diffusion systems. I: Well-posedness ⋮ Energy plus maximum bound preserving Runge-Kutta methods for the Allen-Cahn equation ⋮ Invariant regions for systems of lattice reaction-diffusion equations ⋮ Well-posedness and maximum principles for lattice reaction-diffusion equations ⋮ Unconditionally stable exponential time differencing schemes for the mass‐conserving <scp>Allen–Cahn</scp> equation with nonlocal and local effects ⋮ A finite volume scheme preserving the invariant region property for a class of semilinear parabolic equations on distorted meshes ⋮ Stability Investigation of Biosensor Model Based on Finite Lattice Difference Equations ⋮ Exponential number of stationary solutions for Nagumo equations on graphs ⋮ Discrete advection-diffusion equations on graphs: maximum principle and finite volumes ⋮ Nonuniqueness of implicit lattice Nagumo equation. ⋮ Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes

Cites Work

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• A strong maximum principle for parabolic equations
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