The method of inner boundary condition: A new approach for solving singular perturbation problems
type: Item
instance of: scholarly article
title: The method of inner boundary condition: A new approach for solving singular perturbation problems
zbMATH Open document ID: 0585.65057
DOI: 10.1016/0021-9991(86)90133-6
author: M. K. Kadalbajoo
author: Y. N. Reddy
published in: Journal of Computational Physics
publication date: 1986-01-01T00:00:00Z
review text: The main purpose of this paper is to describe a general computational method based on the method of inner bondary condition for solving linear singularly perturbed boundary value problems. The authors divide the original problem into two problems, an inner region problem and an outer region problem. Asymptotic expansion is used to obtain the terminal boundary condition. The outer region problem is efficiently solved by employing the classical finite difference scheme. The method is iterative on the terminal point. Two numerical examples are solved to demonstrate the efficiency of the method. Computational results are compared with the exact solutions.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 3938472
zbMATH Keywords: method of inner bondary condition
zbMATH Keywords: Asymptotic expansion
zbMATH Keywords: finite difference scheme
zbMATH Keywords: numerical examples
reviewed by: Rolf-Dieter Reiss
MaRDI profile type: Publication
full work available at URL: 0021-9991(86)90133-6
OpenAlex ID: W2002823315
cites work: Difference approximations for singular perturbations of systems of ordinary differential equations
cites work: Q3882388
cites work: Q5544538
cites work: Q5672035
cites work: Q5669581
cites work: Q3241447
cites work: Q3854080
cites work: Q5682682
cites work: Q4774844
cites work: On a Differential Equation of Boundary Layer Type
cites work: A boundary value technique for singular perturbation problems
cites work: Q4096019
description: scientific article; zbMATH DE number 3938472