A parameter uniform almost first order convergent numerical method for non-linear system of singularly perturbed differential equations

DOI10.11145/J.BIOMATH.2016.08.111zbMath1466.92066OpenAlexW2517423484MaRDI QIDQ4989543

S. Valarmathi, R. Ishwariya, Johnson Princy Merlin, John J. H. Miller

Publication date: 25 May 2021

Published in: BIOMATH (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11145/j.biomath.2016.08.111

zbMATH Keywords

nonlinear differential equationsboundary layersfinite difference schemesShishkin meshsingular perturbation problemsparameter uniform convergence

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Singular perturbations of ordinary differential equations (34D15) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

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Robust numerical method for a singularly perturbed problem arising in the modelling of enzyme kinetics ⋮ An efficient numerical method for a nonlinear system of singularly perturbed differential equations arising in a two-time scale system ⋮ A high order convergent adaptive numerical method for singularly perturbed nonlinear systems

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