New algorithm of two-point block method for solving boundary value problem with Dirichlet and Neumann boundary conditions
type: Item
instance of: scholarly article
title: New algorithm of two-point block method for solving boundary value problem with Dirichlet and Neumann boundary conditions
zbMATH Open document ID: 1299.65148
DOI: 10.1155/2013/917589
author: Pei See Phang
author: Zanariah Abdul Majid
author: Khairil Iskandar Othman
author: F. Ismail
author: M. B. Suleiman
published in: Mathematical Problems in Engineering
publication date: 2014-11-24T00:00:00Z
review text: Summary: Two-point block method with variable step-size strategy is presented to obtain the solutions for boundary value problems directly. Dirichlet type and Neumann type of boundary conditions are studied in this paper. Multiple shooting techniques adapted with the three-step iterative method are employed for generating the guessing value. Six boundary value problems are solved using the proposed method, and the numerical results are compared to the existing methods. The results suggest a significant improvement in the efficiency of the proposed methods in terms of the number of steps, execution time, and accuracy.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L12
zbMATH DE Number: 6373280
Wikidata QID: Q59029561
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/917589
OpenAlex ID: W2156650896
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description: scientific article; zbMATH DE number 6373280