A finite volume scheme preserving the invariant region property for a class of semilinear parabolic equations on distorted meshes

DOI10.1002/num.23050OpenAlexW4378379479MaRDI QIDQ6071352

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Publication date: 23 November 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.23050

zbMATH Keywords

finite volume schemesemilinear parabolic equationsdistorted meshesinvariant region property

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Cites Work

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• On the maximum principle preserving schemes for the generalized Allen-Cahn equation
• The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes
• The numerical solution of a generalized Burgers-Huxley equation through a conditionally bounded and symmetry-preserving method
• A boundedness-preserving finite-difference scheme for a damped nonlinear wave equation
• Maximum principles for discrete and semidiscrete reaction-diffusion equation
• A study on nonnegativity preservation in finite element approximation of Nagumo-type nonlinear differential equations
• Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations
• A finite volume scheme preserving the invariant region property for the coupled system of FitzHugh-Nagumo equations on distorted meshes
• Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes
• Positivity preserving finite volume scheme for the Nagumo-type equations on distorted meshes
• Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations
• Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated axons
• Numerical approximations of the Ginzburg–Landau models for superconductivity
• A Nine Point Scheme for the Approximation of Diffusion Operators on Distorted Quadrilateral Meshes
• Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
• Construction of Nonlinear Weighted Method for Finite Volume Schemes Preserving Maximum Principle
• Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
• Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
• Extremum-Preserving Correction of the Nine-Point Scheme for Diffusion Equation on Distorted Meshes