Parameter-uniform numerical methods for some singularly perturbed nonlinear initial value problems

DOI10.1007/S11075-012-9552-3zbMath1262.65086OpenAlexW2154430074MaRDI QIDQ695043

Eugene O'Riordan, Jason Quinn

Publication date: 20 December 2012

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-012-9552-3

zbMATH Keywords

error estimatesuniform convergencenumerical experimentsfinite difference schemepiecewise-uniform Shishkin meshsingularly perturbed nonlinear initial-value problems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) 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) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (3)

Parameter‐uniform numerical methods for singularly perturbed linear transport problems ⋮ Parameter-uniform numerical methods for general nonlinear singularly perturbed reaction diffusion problems having a stable reduced solution ⋮ On the hybrid finite difference scheme for a singularly perturbed Riccati equation

Cites Work

• A Shishkin mesh for a singularly perturbed Riccati equation
• Robust Numerical Methods for Singularly Perturbed Differential Equations
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