Uniformly convergent additive schemes for 2D singularly perturbed parabolic systems of reaction-diffusion type

DOI10.1007/s11075-018-0518-yzbMath1412.65069OpenAlexW2795492099MaRDI QIDQ1736398

José Luis Gracia, Carmelo Clavero

Publication date: 26 March 2019

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: http://zaguan.unizar.es/record/78787

zbMATH Keywords

uniform convergenceShishkin meshesreaction-diffusionmultigrid methodsadditive schemesparabolic 2D coupled systems

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) Finite difference methods for boundary value problems involving PDEs (65N06) Singular parabolic equations (35K67)

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Numerical solution of 2D singularly perturbed reaction-diffusion system with multiple scales ⋮ An efficient and uniformly convergent scheme for one-dimensional parabolic singularly perturbed semilinear systems of reaction-diffusion type ⋮ A splitting uniformly convergent method for one-dimensional parabolic singularly perturbed convection-diffusion systems ⋮ A multi-splitting method to solve 2D parabolic reaction-diffusion singularly perturbed systems

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