Boundary value problem for a third-order differential equation with a strong boundary layer

DOI10.3103/S0278641920010057zbMath1455.65116OpenAlexW3044455101WikidataQ115223405 ScholiaQ115223405MaRDI QIDQ2191057

T. Ya. Ershova

Publication date: 23 June 2020

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0278641920010057

zbMATH Keywords

singular perturbationuniform convergenceordinary differential equationsboundary layerShishkin mesh

Mathematics Subject Classification ID

Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Cites Work

• Uniformly convergent difference schemes for a singularly perturbed third order boundary value problem
• Die gleichmäßige Stabilität singulär gestörter diskreter und kontinuierlicher Randwertprobleme
• The Green function and a priori estimates of solutions of monotone three-point singularly perturbed finite-difference schemes
• The uniform convergence with respect to a small parameter of A. A. Samarskij's monotone scheme and its modification
• Robust Numerical Methods for Singularly Perturbed Differential Equations
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