Cover Image

New algorithm of two-point block method for solving boundary value problem with dirichlet and Neumann boundary conditions

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Phang, Pei See, Abdul Majid, Zanariah, Ismail, Fudziah, Othman, Khairil Iskandar, Suleiman, Mohamed
Format: Article
Language:English
English
Published: Hindawi Publishing Corporation 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30189/1/New%20algorithm%20of%20two.pdf
http://psasir.upm.edu.my/id/eprint/30189/
http://www.hindawi.com/journals/mpe/2013/917589/
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.upm.eprints.30189
record_format eprints
spelling my.upm.eprints.301892015-10-28T04:31:41Z http://psasir.upm.edu.my/id/eprint/30189/ New algorithm of two-point block method for solving boundary value problem with dirichlet and Neumann boundary conditions Phang, Pei See Abdul Majid, Zanariah Ismail, Fudziah Othman, Khairil Iskandar Suleiman, Mohamed 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. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30189/1/New%20algorithm%20of%20two.pdf Phang, Pei See and Abdul Majid, Zanariah and Ismail, Fudziah and Othman, Khairil Iskandar and Suleiman, Mohamed (2013) New algorithm of two-point block method for solving boundary value problem with dirichlet and Neumann boundary conditions. Mathematical Problems in Engineering, 2013. art. no. 917589. pp. 1-10. ISSN 1024-123X http://www.hindawi.com/journals/mpe/2013/917589/ 10.1155/2013/917589 English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description 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.
format Article
author Phang, Pei See
Abdul Majid, Zanariah
Ismail, Fudziah
Othman, Khairil Iskandar
Suleiman, Mohamed
spellingShingle Phang, Pei See
Abdul Majid, Zanariah
Ismail, Fudziah
Othman, Khairil Iskandar
Suleiman, Mohamed
New algorithm of two-point block method for solving boundary value problem with dirichlet and Neumann boundary conditions
author_facet Phang, Pei See
Abdul Majid, Zanariah
Ismail, Fudziah
Othman, Khairil Iskandar
Suleiman, Mohamed
author_sort Phang, Pei See
title New algorithm of two-point block method for solving boundary value problem with dirichlet and Neumann boundary conditions
title_short New algorithm of two-point block method for solving boundary value problem with dirichlet and Neumann boundary conditions
title_full New algorithm of two-point block method for solving boundary value problem with dirichlet and Neumann boundary conditions
title_fullStr New algorithm of two-point block method for solving boundary value problem with dirichlet and Neumann boundary conditions
title_full_unstemmed New algorithm of two-point block method for solving boundary value problem with dirichlet and Neumann boundary conditions
title_sort new algorithm of two-point block method for solving boundary value problem with dirichlet and neumann boundary conditions
publisher Hindawi Publishing Corporation
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/30189/1/New%20algorithm%20of%20two.pdf
http://psasir.upm.edu.my/id/eprint/30189/
http://www.hindawi.com/journals/mpe/2013/917589/
_version_ 1643829983774244864
score 13.251813

Similar Items