An adaptive moving grid method for a system of singularly perturbed initial value problems

DOI10.1016/j.cam.2014.06.022zbMath1296.65102OpenAlexW1973656183MaRDI QIDQ399064

Li-Bin Liu, Yanping Chen

Publication date: 19 August 2014

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.2014.06.022

zbMATH Keywords

singular perturbationuniform convergenceinitial value problema priori error analysisnumerical resultadaptive gridbackward Euler difference schememoving grid method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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) 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)

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