On the monotonicity of an adaptive splitting scheme for two-dimensional singular reaction–diffusion equations
From MaRDI portal
Publication:3595051
DOI10.1080/00207160701458443zbMath1122.65075OpenAlexW2168137608MaRDI QIDQ3595051
Publication date: 10 August 2007
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160701458443
numerical examplesadaptationquenching singularityexponential splittingnonlinear reaction diffusion equation
Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Related Items
On a fully discrete finite-difference approximation of a nonlinear diffusion–reaction model in microbial ecology, Adaptive decomposition finite difference methods for solving singular problems -- a review, Adaptive ADI numerical analysis of 2D quenching-type reaction: diffusion equation with convection term
Cites Work
- Unnamed Item
- Unnamed Item
- A numerical study of three moving-grid methods for one-dimensional partial differential equations which are based on the method of lines
- On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
- An adaptive Rothe method for nonlinear reaction-diffusion systems
- Parabolic quenching for nonsmooth convex domains
- Approaches for generating moving adaptive meshes: Location versus velocity
- Quenching, nonquenching, and beyond quenching for solution of some parabolic equations
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- Solving Linear Partial Differential Equations by Exponential Splitting
- Solving Degenerate Reaction-Diffusion Equations via Variable Step Peaceman--Rachford Splitting
