Formulas for numerical differentiation on a uniform mesh in the presence of a boundary layer

DOI10.1134/s0965542524700416zbMATH Open1545.65102MaRDI QIDQ6588147

A. I. Zadorin

Publication date: 15 August 2024

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

zbMATH Keywords

error estimatelarge gradientsfunction of one variablespecial formula for numerical differentiation

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical differentiation (65D25)

Cites Work

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• Interpolation formula for functions with a boundary layer component and its application to derivatives calculation
• Non-polynomial interpolation of functions with large gradients and its application
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• 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
• Analysis of numerical differential formulas on a Bakhvalov mesh in the presence of a boundary layer

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