On the theory of difference schemes for singularly perturbed equations

DOI10.1023/B:DIEQ.0000047027.16299.38zbMath1084.65072OpenAlexW2068039217MaRDI QIDQ2387968

Vladimir B. Andreev

Publication date: 5 September 2005

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:dieq.0000047027.16299.38

zbMATH Keywords

convergencesingular perturbationerror boundstwo-point boundary value problemGreen functionreaction-diffusion equationthree-point difference schemeBakhvalov-type-grid

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) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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