A difference scheme for a singularly perturbed parabolic equation with discontinuous coefficients and concentrated factors

DOI10.1016/0041-5553(89)90173-0zbMath0712.65083OpenAlexW1967701957MaRDI QIDQ3197246

G. I. Shishkin

Publication date: 1989

Published in: USSR Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0041-5553(89)90173-0

zbMATH Keywords

singular perturbationsmall parameteruniform convergencediscontinuous coefficientsfinite difference schemequasi-uniform meshesconcentrated sourcespiece-wise uniform meshes

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) 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) Initial value problems for second-order parabolic equations (35K15)

Related Items (6)

A brief survey on numerical methods for solving singularly perturbed problems ⋮ A higher‐order hybrid spline difference method on adaptive mesh for solving singularly perturbed parabolic reaction–diffusion problems with robin‐boundary conditions ⋮ Robust numerical schemes for time delayed singularly perturbed parabolic problems with discontinuous convection and source terms ⋮ Opposing flows in a one dimensional convection-diffusion problem ⋮ \(\varepsilon\)-uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with interior layers ⋮ Interior Layers in Singularly Perturbed Problems

This page was built for publication: A difference scheme for a singularly perturbed parabolic equation with discontinuous coefficients and concentrated factors