Approximation of singularly perturbed reaction-diffusion problems by quadratic \(C ^1\)-splines

DOI10.1007/s11075-011-9529-7zbMath1267.65092OpenAlexW2118572547MaRDI QIDQ451804

Helena Zarin, Goran Radojev, Torsten Linss

Publication date: 24 September 2012

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

Full work available at URL: https://doi.org/10.1007/s11075-011-9529-7

zbMATH Keywords

numerical resultssingular perturbationsspline interpolationreaction-diffusion problemsShishkin meshcollocationa posteriori error estimation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Singular perturbations for ordinary differential equations (34E15) 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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