Three-step block method for solving nonlinear boundary value problems
type: Item
instance of: scholarly article
title: Three-step block method for solving nonlinear boundary value problems
zbMATH Open document ID: 1469.65128
DOI: 10.1155/2014/379829
author: Phang Pei See
author: Zanariah Abdul Majid
author: M. B. Suleiman
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We propose a three-step block method of Adam's type to solve nonlinear second-order two-point boundary value problems of Dirichlet type and Neumann type directly. We also extend this method to solve the system of second-order boundary value problems which have the same or different two boundary conditions. The method will be implemented in predictor corrector mode and obtain the approximate solutions at three points simultaneously using variable step size strategy. The proposed block method will be adapted with multiple shooting techniques via the three-step iterative method. The boundary value problem will be solved without reducing to first-order equations. The numerical results are presented to demonstrate the effectiveness of the proposed method.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 7022265
Wikidata QID: Q59036913
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/379829
OpenAlex ID: W2063818255
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description: scientific article; zbMATH DE number 7022265