Uniform convergence of arbitrary order on nonuniform meshes for a singularly perturbed boundary value problem

DOI10.1016/0377-0427(94)00023-TzbMath0856.65089OpenAlexW2084558248MaRDI QIDQ1899976

John J. H. Miller, Carmelo Clavero, Francisco Javier Lisbona

Publication date: 11 February 1997

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

Full work available at URL: https://doi.org/10.1016/0377-0427(94)00023-t

zbMATH Keywords

singular perturbationuniform convergencenumerical examplesfinite difference methodsarbitrary orderirregular mesheslinear selfadjoint boundary value problem

Mathematics Subject Classification ID

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 (3)

On a fourth-order finite-difference method for singularly perturbed boundary value problems ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ A Cartesian grid based tailored finite point method for reaction-diffusion equation on complex domains

Cites Work

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• Die gleichmäßige Stabilität singulär gestörter diskreter und kontinuierlicher Randwertprobleme
• Uniform fourth order difference scheme for a singular perturbation problem
• A class of simple exponential B-splines and their application to numerical solution to singular perturbation problems
• A difference scheme on a non-uniform mesh for a differential equation with a small parameter in the highest derivative
• Graded-Mesh Difference Schemes for Singularly Perturbed Two-Point Boundary Value Problems
• Uniform High-Order Difference Schemes for a Singularly Perturbed Two-Point Boundary Value Problem
• Sufficient Conditions for Uniform Convergence of a Class of Difference Schemes for a Singularly Perturbed Problem
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• A High-Order Difference Method for Differential Equations
• An Analysis of a Uniformly Accurate Difference Method for a Singular Perturbation Problem
• Applications of the Maximum Principle to Singular Perturbation Problems
• An Adaptive Finite Difference Solver for Nonlinear Two-Point Boundary Problems with Mild Boundary Layers
• The Construction of Finite Difference Approximations to Ordinary Differential Equations
• On Selection of Equidistributing Meshes for Two-Point Boundary-Value Problems

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