Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type

Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type

In this paper, a variable step size and variable order strategy (VSVO) used in the block method is developed for solving directly the second order two-point boundary value problems (BVPs). The variable step size and variable order strategy managed to reduce the total step and assure the accuracy of...

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Main Authors: Phang, Pei See, Abdul Majid, Zanariah
Format: Conference or Workshop Item
Language:English
Published: IEEE 2015
Online Access:http://psasir.upm.edu.my/id/eprint/51884/
http://psasir.upm.edu.my/id/eprint/51884/
http://psasir.upm.edu.my/id/eprint/51884/
http://psasir.upm.edu.my/id/eprint/51884/1/Implementation%20of%20VSVO%20code%20for%20solving%20boundary%20value%20problems%20of%20Dirichlet%20and%20Neumann%20type.pdf
id upm-51884
recordtype eprints
spelling upm-518842017-05-03T04:09:19Z http://psasir.upm.edu.my/id/eprint/51884/ Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type Phang, Pei See Abdul Majid, Zanariah In this paper, a variable step size and variable order strategy (VSVO) used in the block method is developed for solving directly the second order two-point boundary value problems (BVPs). The variable step size and variable order strategy managed to reduce the total step and assure the accuracy of the method. The proposed block method can compute the solutions at two points simultaneously and adapted with multiple shooting technique via three-step iterative method. The performance for the proposed method was tested on the single and system of second order BVPs of Dirichlet and Neumann type. Numerical results are given to show the efficiency of the proposed method when compare to the existing method in terms of total steps and execution time. IEEE 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51884/1/Implementation%20of%20VSVO%20code%20for%20solving%20boundary%20value%20problems%20of%20Dirichlet%20and%20Neumann%20type.pdf Phang, Pei See and Abdul Majid, Zanariah (2015) Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type. In: 7th International Conference on Research and Education in Mathematics (ICREM7), 25-27 Aug. 2015, Renaissance Kuala Lumpur Hotel, Malaysia. (pp. 39-44). http://ieeexplore.ieee.org/document/7357023/ 10.1109/ICREM.2015.7357023
repository_type Digital Repository
institution_category Local University
institution Universiti Putra Malaysia
building UPM Institutional Repository
collection Online Access
language English
description In this paper, a variable step size and variable order strategy (VSVO) used in the block method is developed for solving directly the second order two-point boundary value problems (BVPs). The variable step size and variable order strategy managed to reduce the total step and assure the accuracy of the method. The proposed block method can compute the solutions at two points simultaneously and adapted with multiple shooting technique via three-step iterative method. The performance for the proposed method was tested on the single and system of second order BVPs of Dirichlet and Neumann type. Numerical results are given to show the efficiency of the proposed method when compare to the existing method in terms of total steps and execution time.
format Conference or Workshop Item
author Phang, Pei See
Abdul Majid, Zanariah
spellingShingle Phang, Pei See
Abdul Majid, Zanariah
Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type
author_facet Phang, Pei See
Abdul Majid, Zanariah
author_sort Phang, Pei See
title Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type
title_short Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type
title_full Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type
title_fullStr Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type
title_full_unstemmed Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type
title_sort implementation of vsvo code for solving boundary value problems of dirichlet and neumann type
publisher IEEE
publishDate 2015
url http://psasir.upm.edu.my/id/eprint/51884/
http://psasir.upm.edu.my/id/eprint/51884/
http://psasir.upm.edu.my/id/eprint/51884/
http://psasir.upm.edu.my/id/eprint/51884/1/Implementation%20of%20VSVO%20code%20for%20solving%20boundary%20value%20problems%20of%20Dirichlet%20and%20Neumann%20type.pdf
first_indexed 2018-09-07T18:12:40Z
last_indexed 2018-09-07T18:12:40Z
_version_ 1610973404936011776

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