Numerical solution of nonlinear ordinary differential equation for a turning point problem

DOI10.1007/BF02015689zbMath0756.65108OpenAlexW2053225411WikidataQ115392995 ScholiaQ115392995MaRDI QIDQ1192812

Qingyuan Bai, Peng-cheng Lin

Publication date: 27 September 1992

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02015689

zbMATH Keywords

numerical examplesingular perturbationuniform convergenceturning point problemexponential fitted difference scheme

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)

Cites Work

• A uniformly convergent difference scheme for a semilinear singular perturbation problem
• The numerical solution for problems of turning point without resonance
• \(L^ 1\) and \(L^{\infty}\) uniform convergence of a difference scheme for a semilinear singular perturbation problem
• A Priori Estimates and Analysis of a Numerical Method for a Turning Point Problem

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