scientific article; zbMATH DE number 6407178

zbMath1312.65144MaRDI QIDQ5175502

S. Valarmathi, Victor Franklin, John J. H. Miller

Publication date: 23 February 2015

Full work available at URL: http://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=192203&lang=en

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zbMATH Keywords

singular perturbationuniform convergencefinite difference schemeShishkin mesheserror boundsboundary layersnumerical resultsystem of parabolic PDEs

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Maximum principles in context of PDEs (35B50) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Second-order parabolic systems (35K40)

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Parameter uniform numerical method for a system of singularly perturbed parabolic convection-diffusion equations ⋮ Initial or Boundary Value Problems for Systems of Singularly Perturbed Differential Equations and Their Solution Profile ⋮ Parameter uniform numerical method for a system of two coupled singularly perturbed parabolic convection-diffusion equations ⋮ Numerical method for a boundary value problem for a linear system of partially singularly perturbed parabolic delay differential equations of reaction-diffusion type ⋮ Numerical analysis of a finite difference method for a linear system of singularly perturbed parabolic delay differential reaction-diffusion equations with discontinuous source terms

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