A computational study of the boundary value methods and the block unification methods for \(y'' = f(x, y, y')\)
type: Item
instance of: scholarly article
title: A computational study of the boundary value methods and the block unification methods for \(y'' = f(x, y, y')\)
zbMATH Open document ID: 1470.65132
DOI: 10.1155/2016/8465103
published in: Abstract and Applied Analysis
publication date: 2018-08-30T00:00:00Z
review text: Summary: We derive a new class of linear multistep methods (LMMs) via the interpolation and collocation technique. We discuss the use of these methods as boundary value methods and block unification methods for the numerical approximation of the general second-order initial and boundary value problems. The convergence of these families of methods is also established. Several test problems are given to show a computational comparison of these methods in terms of accuracy and the computational efficiency.
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 6929392
author: T. A. Biala
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/8465103
OpenAlex ID: W2319029802
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Wikidata QID: Q59121557
description: scientific article; zbMATH DE number 6929392