Booster method for singularly-perturbed one-dimensional convection-diffusion Neumann problems

DOI10.1023/A:1021796010050zbMath0912.65072OpenAlexW4237130840MaRDI QIDQ1273161

K. Appert

Publication date: 16 March 1999

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021796010050

zbMATH Keywords

numerical resultserror estimatesboundary layersfinite difference schemessingular perturbation problemsasymptotic approximations

Mathematics Subject Classification ID

Singular perturbations of ordinary differential equations (34D15) 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) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (9)

“Booster method” for singularly perturbed robin problems i ⋮ A fourth-order accurate quasi-variable mesh compact finite-difference scheme for two-space dimensional convection-diffusion problems ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Asymptotic initial-value method for singularly-perturbed boundary-value problems for second-order ordinary differential equations ⋮ “booster method” for singularly perturbed robin problems-II ⋮ New results on Hermitian matrix rank-one decomposition ⋮ An efficient hybrid numerical scheme for convection-dominated boundary-value problems ⋮ An asymptotic-numerical method for singularly perturbed Robin problems. I ⋮ A novel study based on Lerch polynomials for approximate solutions of pure Neumann problem

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• Multiple Stable Solutions of Nonlinear Boundary Value Problems Arising in Chemical Reactor Theory
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