Parameter-uniform hybrid difference scheme for solutions and derivatives in singularly perturbed initial value problems

DOI10.1016/j.cam.2017.02.009zbMath1372.65202OpenAlexW2588189689MaRDI QIDQ2400323

Aimin Xu, Anbo Le, Zhongdi Cen

Publication date: 28 August 2017

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

Full work available at URL: https://doi.org/10.1016/j.cam.2017.02.009

zbMATH Keywords

singular perturbationuniform convergenceinitial value problemdifference schemeerror estimateShishkin meshnumerical experiment

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) 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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

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