High order generalized upwind schemes and numerical solution of singular perturbation problems

DOI10.1007/s10543-007-0125-0zbMath1121.65089OpenAlexW2032819088WikidataQ62027879 ScholiaQ62027879MaRDI QIDQ996814

Ivonne Sgura, Pierluigi Amodio

Publication date: 19 July 2007

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-007-0125-0

zbMATH Keywords

numerical resultssingular perturbationserror boundstwo point boundary value problemsstep size variationupwind finite difference schemes

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) 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)

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Uses Software

• bvp4c
• PMIRKDC
• MIRKDC

Cites Work

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• A High-Order Difference Method for Differential Equations
• Spatial Finite Difference Approximations for Wave-Type Equations
• Runge–Kutta Software with Defect Control for Boundary Value ODE<scp>s</scp>

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