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Solving nonlinear two point boundary value problem using two step direct method

In this paper, we present two step direct method of Adams Moulton type (2PDAM4 and 2PDAM5) for solving nonlinear two point boundary value problems (BVPs) directly. The two step direct method will be utilised to obtain a series solution of the initial value problems at two steps simultaneously. Thes...

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Main Authors: Phang, Pei See, Abdul Majid, Zanariah, Suleiman, Mohamed
Format: Article
Language:English
Published: Universiti Kebangsaan Malaysia 2011
Online Access:http://psasir.upm.edu.my/id/eprint/25060/1/Solving%20nonlinear%20two%20point%20boundary%20value%20problem%20using%20two%20step%20direct%20method.pdf
http://psasir.upm.edu.my/id/eprint/25060/
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spelling my.upm.eprints.250602017-04-05T09:08:44Z http://psasir.upm.edu.my/id/eprint/25060/ Solving nonlinear two point boundary value problem using two step direct method Phang, Pei See Abdul Majid, Zanariah Suleiman, Mohamed In this paper, we present two step direct method of Adams Moulton type (2PDAM4 and 2PDAM5) for solving nonlinear two point boundary value problems (BVPs) directly. The two step direct method will be utilised to obtain a series solution of the initial value problems at two steps simultaneously. These methods will solve the nonlinear second order BVPs by shooting technique using constant step size. Three step iterative method is considered as a procedure for solving the nonlinear equations and the convergence of the shooting technique. Numerical results are given to illustrate the efficiency and performance of the direct method by the shooting technique with root finding via three-step iterative method for solving boundary value problems. The results clearly show that the two step direct method is able to produce good results compared to the existing method. Universiti Kebangsaan Malaysia 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25060/1/Solving%20nonlinear%20two%20point%20boundary%20value%20problem%20using%20two%20step%20direct%20method.pdf Phang, Pei See and Abdul Majid, Zanariah and Suleiman, Mohamed (2011) Solving nonlinear two point boundary value problem using two step direct method. Journal of Quality Measurement and Analysis, 7 (1). 129- 140. ISSN 1823-5670 http://www.ukm.my/jqma/jqma7_1a.html
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
description In this paper, we present two step direct method of Adams Moulton type (2PDAM4 and 2PDAM5) for solving nonlinear two point boundary value problems (BVPs) directly. The two step direct method will be utilised to obtain a series solution of the initial value problems at two steps simultaneously. These methods will solve the nonlinear second order BVPs by shooting technique using constant step size. Three step iterative method is considered as a procedure for solving the nonlinear equations and the convergence of the shooting technique. Numerical results are given to illustrate the efficiency and performance of the direct method by the shooting technique with root finding via three-step iterative method for solving boundary value problems. The results clearly show that the two step direct method is able to produce good results compared to the existing method.
format Article
author Phang, Pei See
Abdul Majid, Zanariah
Suleiman, Mohamed
spellingShingle Phang, Pei See
Abdul Majid, Zanariah
Suleiman, Mohamed
Solving nonlinear two point boundary value problem using two step direct method
author_facet Phang, Pei See
Abdul Majid, Zanariah
Suleiman, Mohamed
author_sort Phang, Pei See
title Solving nonlinear two point boundary value problem using two step direct method
title_short Solving nonlinear two point boundary value problem using two step direct method
title_full Solving nonlinear two point boundary value problem using two step direct method
title_fullStr Solving nonlinear two point boundary value problem using two step direct method
title_full_unstemmed Solving nonlinear two point boundary value problem using two step direct method
title_sort solving nonlinear two point boundary value problem using two step direct method
publisher Universiti Kebangsaan Malaysia
publishDate 2011
url http://psasir.upm.edu.my/id/eprint/25060/1/Solving%20nonlinear%20two%20point%20boundary%20value%20problem%20using%20two%20step%20direct%20method.pdf
http://psasir.upm.edu.my/id/eprint/25060/
http://www.ukm.my/jqma/jqma7_1a.html
_version_ 1643828547476783104
score 13.211869

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