Computational methods for solving two-parameter singularly perturbed boundary value problems for second-order ordinary differential equations
type: Item
instance of: scholarly article
title: Computational methods for solving two-parameter singularly perturbed boundary value problems for second-order ordinary differential equations
zbMATH Open document ID: 1025.65046
DOI: 10.1016/S0096-3003(02)00053-X
author: Sigamani Valarmathi
author: N. Ramanujam
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 1861399
zbMATH Keywords: singular perturbation
zbMATH Keywords: second-order ordinary differential equations
zbMATH Keywords: two-parameter BVP
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: boundary layer
zbMATH Keywords: exponentially fitted finite difference scheme
zbMATH Keywords: classical finite difference scheme
zbMATH Keywords: two-point boundary value problem
zbMATH Keywords: fitted operator method
zbMATH Keywords: boundary value technique
zbMATH Keywords: error estimates
zbMATH Keywords: parallel computing
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
cites work: Difference approximations for singular perturbations of systems of ordinary differential equations
cites work: On the Asymptotic Solution of a Two-Parameter Boundary Value Problem of Chemical Reactor Theory
cites work: Q3909948
cites work: Uniform and optimal schemes for stiff initial-value problems
cites work: The Numerical Solution of Boundary Value Problems for Stiff Differential Equations
cites work: A computational method for solving singular perturbation problems
cites work: A numerical method for singular perturbation problems arising in chemical reactor theory
cites work: Numerical treatment of singularly perturbed two point boundary value problems
cites work: Approximate method for the numerical solution of singular perturbation problems
cites work: Numerical solution of singular perturbation problems via deviating arguments
cites work: Q4379541
cites work: A computational method for solving singularly perturbed turning point problems exhibiting twin boundary layers
cites work: Q3895818
cites work: Q4774844
cites work: Singular perturbations of boundary value problems for linear ordinary differential equations involving two parameters
cites work: Q5569325
cites work: Q5533735
cites work: Further examples of the boundary value technique in singular perturbation problems
cites work: A boundary value technique for singular perturbation problems
cites work: Q4871736
cites work: A numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations
cites work: Asymptotic numerical methods for singularly perturbed fourth order ordinary differential equations of convection-diffusion type
cites work: Boundary Value Technique for Finding Numerical Solution to Boundary Value Problems for Third Order Singularly Perturbed Ordinary Differential Equations
cites work: A computational method are solving boundary value problems for third-order singularly perturbed ordinary differential equations
cites work: An asymptotic numerical method for singularly perturbed third-order ordinary differential equations of convection-diffusion type.
cites work: An asymptotic numerical fitted mesh method for singularly perturbed third order ordinary differential equations of reaction-diffusion type
cites work: Asymptotic methods in the theory of ordinary differential equations containing small parameters in front of the higher derivatives
description: scientific article; zbMATH DE number 1861399