An almost monotone approximation for a nonlinear two-point boundary value problem
type: Item
instance of: scholarly article
title: An almost monotone approximation for a nonlinear two-point boundary value problem
zbMATH Open document ID: 0892.65054
DOI: 10.1023/A:1018983927675
published in: Advances in Computational Mathematics
publication date: 1998-08-09T00:00:00Z
review text: The authors propose a new approach approximating the nonlinear two-point boundary value problem, called the almost monotone approximation. The concept of an ordered pair of supersolution and subsolution of nonlinear discrete problems is introduced. The existence and uniqueness of numerical solutions is discussed. The authors construct an almost monotone approximation of fourth order on a uniform mesh. A continuous version with the same accuracy, based on the values of the numerical solution at the mesh points given by an almost monotone approximation is presented.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1129539
zbMATH Keywords: nonlinear two-point boundary value problem
zbMATH Keywords: almost monotone approximation
zbMATH Keywords: supersolution
zbMATH Keywords: subsolution
author: Ben-Yu Guo
author: Yuan-Ming Wang
reviewed by: Pavol Chocholatý
MaRDI profile type: Publication
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full work available at URL: a:1018983927675
OpenAlex ID: W374959569
description: scientific article; zbMATH DE number 1129539