Analysis of numerical differential formulas on a Bakhvalov mesh in the presence of a boundary layer

DOI10.1134/S0965542523020148MaRDI QIDQ6039156

A. I. Zadorin

Publication date: 3 May 2023

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

zbMATH Keywords

error estimateexponential boundary layerLagrange polynomialnumerical differentiation formulasfunction of one variableBbakhvalov mesh

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Cites Work

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• Interpolation formula for functions with a boundary layer component and its application to derivatives calculation
• Differencing scheme for a differential equation with a small parameter affecting the highest derivative
• Fitted Numerical Methods For Singular Perturbation Problems
• Spline interpolation on a uniform grid for functions with a boundary-layer component
• Analysis of Numerical Differentiation Formulas in a Boundary Layer on a Shishkin Grid
• Approximation of Solutions and Derivatives for Singularly Perturbed Elliptic Convection–Diffusion Equations
• The optimization of methods of solving boundary value problems with a boundary layer
• Approximation of derivatives in a convection-diffusion two-point boundary value problem
• The necessity of Shishkin decompositions

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