A difference method for non-self-adjoint singular perturbation problem of second order

DOI10.1016/0307-904X(91)90064-VzbMath0834.65071OpenAlexW2001027701MaRDI QIDQ1903257

Mirjana Stojanovic

Publication date: 31 March 1996

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0307-904x(91)90064-v

zbMATH Keywords

collocation methodnumerical resultssingular perturbationuniform convergencequadratic convergenceexponential splineserror estimatenon-self-adjoint perturbation boundary value problemspline three-point discretization

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) 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 (3)

On the optimally convergent splines difference scheme for one-dimensional reaction-diffusion problem ⋮ Splines difference methods for a singular perturbation problem ⋮ A brief survey on numerical methods for solving singularly perturbed problems

Cites Work

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• Collocation with Polynomial and Tension Splines for Singularly-Perturbed Boundary Value Problems
• An Analysis of a Uniformly Accurate Difference Method for a Singular Perturbation Problem
• The Multivariable Method in Singular Perturbation Analysis

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