An almost second order uniformly convergent scheme for a singularly perturbed initial value problem

DOI10.1007/S11075-013-9801-0zbMath1303.65056OpenAlexW2065004383MaRDI QIDQ466866

Aimin Xu, Zhongdi Cen, Fevzi Erdogan

Publication date: 31 October 2014

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

Full work available at URL: https://doi.org/10.1007/s11075-013-9801-0

zbMATH Keywords

singular perturbationuniform convergencefinite difference schemeinitial value problemnonlinear equationShishkin meshnumerical test

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) 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 (4)

Parameter-uniform hybrid difference scheme for solutions and derivatives in singularly perturbed initial value problems ⋮ A uniformly almost second order convergent numerical method for singularly perturbed delay differential equations ⋮ On the hybrid finite difference scheme for a singularly perturbed Riccati equation ⋮ A hybrid method for singularly perturbed convection-diffusion equation

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