A uniform monotone alternating direction scheme for nonlinear singularly perturbed parabolic problems
DOI10.1016/j.cam.2014.05.007zbMath1294.65086OpenAlexW2037776463MaRDI QIDQ2253068
Publication date: 25 July 2014
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.2014.05.007
singular perturbationuniform convergencenumerical experimentsquadratic convergencenonlinear parabolic problemmethod of upper and lower solutionsalternating direction implicit schemenonlinear difference schememonotone ADI scheme
Singular perturbations in context of PDEs (35B25) Heat equation (35K05) 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 (2)
Cites Work
- Uniform convergent monotone iterates for semilinear singularly perturbed parabolic problems
- Uniform convergence of a weighted average scheme for a nonlinear reaction-diffusion problem
- Finite difference domain decomposition algorithms for a parabolic problem with boundary layers
- Accelerated monotone iterative methods for finite difference equations of reaction-diffusion
- Higher-order monotone iterative methods for finite difference systems of nonlinear reaction-diffusion-convection equations
- On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
- An alternating direction scheme on a nonuniform mesh for reaction-diffusion parabolic problems
- Numerical Solution of Partial Differential Equations
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