Higher-order compact finite difference method for systems of reaction-diffusion equations

DOI10.1016/j.cam.2009.07.052zbMath1185.65154OpenAlexW2068799121MaRDI QIDQ732159

Hong-Bo Zhang, Yuan-Ming Wang

Publication date: 9 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.07.052

zbMATH Keywords

upper and lower solutionssystem of reaction-diffusion equationscompact finite difference methodmonotone iterationshigher-order accuracy

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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 (6)

A higher-order compact LOD method and its extrapolations for nonhomogeneous parabolic differential equations ⋮ Repeated Richardson extrapolation applied to the two-dimensional Laplace equation using triangular and square grids ⋮ A compact ADI finite difference method for 2D reaction-diffusion equations with variable diffusion coefficients ⋮ A compact finite difference method for reaction-diffusion problems using compact integration factor methods in high spatial dimensions ⋮ A new fourth‐order numerical algorithm for a class of three‐dimensional nonlinear evolution equations ⋮ Compact ETDRK scheme for nonlinear dispersive wave equations

Cites Work

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• Monotone iterative methods for nonlinear equations involving a noninvertible linear part
• Monotone iterative methods for numerical solutions of nonlinear integro-elliptic boundary problems
• Monotone iterative methods for finite difference system of reaction- diffusion equations
• Combined iterative methods for numerical solutions of parabolic problems with time delays
• Hysteresis, oscillations, and pattern formation in realistic immobilized enzyme systems
• The operator compact implicit method for parabolic equations
• Monotone methods for higher-order partial difference equations
• Some recent developments of Numerov's method
• An efficient high-order algorithm for solving systems of 3-D reaction-diffusion equations
• Finite difference reaction-diffusion systems with coupled boundary conditions and time delays
• Time-delayed finite difference reaction-diffusion systems with nonquasimonotone functions
• Bounds for the maximal eigenvalue of a nonnegative irreducible matrix
• Monotone iterative technique for numerical solutions of fourth-order nonlinear elliptic boundary value problems
• Nonlinear elliptic boundary-value problems in unbounded domains
• Stability and Convergence of Finite Difference Methods for Systems of Nonlinear Reaction-Diffusion Equations
• Numerical Analysis of Coupled Systems of Nonlinear Parabolic Equations
• An efficient high-order algorithm for solving systems of reaction-diffusion equations
• Finite difference reaction diffusion equations with nonlinear boundary conditions
• Monotone method and convergence acceleration for finite‐difference solutions of parabolic problems with time delays

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