ROBUST DIFFERENCE SCHEME FOR THE CAUCHY PROBLEM FOR A SINGULARLY PERTURBED ORDINARY DIFFERENTIAL EQUATION

DOI10.3846/mma.2018.031zbMath1488.65192OpenAlexW2896076339WikidataQ115219538 ScholiaQ115219538MaRDI QIDQ4959407

G. I. Shishkin, L. P. Shishkina

Publication date: 13 September 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/mma.2018.031

zbMATH Keywords

ordinary differential equationboundary layeruniform gridmaximum norm\textit{a priori} estimatessolution decompositionsingularly perturbed Cauchy problemstandard difference schemepiecewise-uniform gridrobust difference scheme

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) 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 (1)

Existence and stability of periodic contrast structure in reaction-advection-diffusion equation with discontinuous reactive and convective terms

Cites Work

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• Fitted Numerical Methods For Singular Perturbation Problems
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• The Use of Defect Correction for the Solution of Parabolic Singular Perturbation Problems
• An Introduction to Numerical Analysis
• -uniform schemes with high-order time-accuracy for parabolic singular perturbation problems
• CONSERVATIVE NUMERICAL METHOD FOR A SYSTEM OF SEMILINEAR SINGULARLY PERTURBED PARABOLIC REACTION‐DIFFUSION EQUATIONS

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