A Petrov-Galerkin method for a singularly perturbed ordinary differential equation with non-smooth data

DOI10.1007/BF02896481zbMath1107.65069OpenAlexW2084939480WikidataQ115391240 ScholiaQ115391240MaRDI QIDQ854443

N. E. Zubov

Publication date: 4 December 2006

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

Full work available at URL: https://doi.org/10.1007/bf02896481

zbMATH Keywords

numerical examplesingular perturbationerror estimatesuniform convergenceboundary layersinterior layerPetrov-Galerkin finite element method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

Related Items (1)

Finite element analysis of singularly perturbed problems with discontinuous diffusion

Cites Work

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• Numerical methods for time-dependent convection-diffusion equations
• Uniformly convergent difference schemes for singularly perturbed parabolic diffusion-convection problems without turning points
• The use of a modified Petrov-Galerkin method for gas-sold reaction modelling
• A computationally efficient solution technique for moving-boundary problems in finite media

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