An error analysis for a difference scheme of exponential type applied to a nonlinear singular perturbation problem without turning points

DOI10.1016/0377-0427(86)90241-4zbMath0612.65044OpenAlexW2093072724MaRDI QIDQ1088383

Koichi Niijima

Publication date: 1986

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(86)90241-4

zbMATH Keywords

uniform convergencedifference scheme of exponential typenonlinear singular perturbation problem without turning points

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15)

Related Items (3)

Parameter-uniformly convergent exponential spline difference scheme for singularly perturbed semilinear reaction-diffusion problems ⋮ Numerical solution of quasilinear singularly perturbed ordinary differential equation without turning points ⋮ On the non-existence of 𝜀-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems

Cites Work

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• A uniformly convergent difference scheme for a semilinear singular perturbation problem
• On a difference scheme of exponential type for a nonlinear singular perturbation problem
• Monotone Difference Schemes for Singular Perturbation Problems

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