About the central difference method for singularly perturbed boundary value problems

DOI10.1016/0168-9274(95)00038-VzbMath0833.65075OpenAlexW1975630016MaRDI QIDQ1899314

Alessandra Papini

Publication date: 9 October 1995

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00038-v

zbMATH Keywords

stabilityconvergencecentral difference schemelinear second-order equationnonuniform meshes

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) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (1)

Experiments with a local adaptive grid \(h\)-refinement for the finite-difference solution of BVPs in singularly perturbed second-order ODEs

Cites Work

• Unnamed Item
• Singular perturbation methods for ordinary differential equations
• An Analysis of the Box and Trapezoidal Schemes for Linear Singularly Perturbed Boundary Value Problems
• Collocation for Singular Perturbation Problems II: Linear First Order Systems Without Turning Points
• The Numerical Solution of Second-Order Boundary Value Problems on Nonuniform Meshes
• A Calculus of Difference Schemes for the Solution of Boundary Value Problems on Irregular Meshes
• A PARALLEL METHOD FOR QUASILINEAR PROBLEMS∗
• On a Differential Equation of Boundary Layer Type
• Difference Approximations for Boundary and Eigenvalue Problems for Ordinary Differential Equations

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