A note on a generalized Shishkin-type mesh

DOI10.30755/NSJOM.07880zbMath1462.65086OpenAlexW2799487693MaRDI QIDQ4985301

Thái Anh Nhan, Relja Vulanović

Publication date: 23 April 2021

Published in: Novi Sad Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30755/nsjom.07880

zbMATH Keywords

singular perturbationuniform convergenceboundary-value problemfinite differencesconvection-diffusionShishkin-type meshes

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (3)

Richardson extrapolation method for 2D-SPP on VB mesh singularly perturbed convection-diffusion problem on a Vulanović-Bakhvalov mesh ⋮ The Bakhvalov mesh: a complete finite-difference analysis of two-dimensional singularly perturbed convection-diffusion problems ⋮ A Uniform Convergence Analysis for a Bakhvalov-Type Mesh with an Explicitly Defined Transition Point

Cites Work

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• A priori meshes for singularly perturbed quasilinear two-point boundary value problems
• Uniform Pointwise Convergence on Shishkin-Type Meshes for Quasi-Linear Convection-Diffusion Problems
• Layer-adapted meshes for one-dimensional reaction–convection–diffusion problems
• A higher-order scheme for quasilinear boundary value problems with two small parameters

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