Numerical solution of quasilinear singularly perturbed ordinary differential equation without turning points

DOI10.1007/BF02014547zbMath0735.34041OpenAlexW2020351060WikidataQ115393001 ScholiaQ115393001MaRDI QIDQ1178002

Ping Lin, Yucheng Su

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf02014547

zbMATH Keywords

iteration methodexponentially fitted difference schemes

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) Numerical analysis in abstract spaces (65J99)

Related Items

A uniformly difference scheme of singular perturbation problem for a semilinear ordinary differential equation with mixed boundary value condition ⋮ Initial value technique for singularly perturbed two point boundary value problems using an exponentially fitted finite difference scheme ⋮ Uniform second-order pointwise convergence of a central difference approximation for a quasilinear convection-diffusion problem. ⋮ A numerical method for quasilinear singular perturbation problems with turning points ⋮ A survey of numerical techniques for solving singularly perturbed ordinary differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• On a difference scheme of exponential type for a nonlinear singular perturbation problem
• Initial-value technique for a class of nonlinear singular perturbation problems
• An error analysis for a difference scheme of exponential type applied to a nonlinear singular perturbation problem without turning points
• Nonlinear Singular Perturbation Problems and One Sided Difference Schemes
• Singular perturbations and differential inequalities