Solving nonlinear two point boundary value problem using two step direct method (Menyelesaikan masalah nilai sempadan dua titik tak linear menggunakan kaedah langsung dua langkah )

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, Zanariah Abdul Majid, Mohamed Suleiman
Format:	Article
Language:	English
Published:	Penerbit Universiti Kebangsaan Malaysia 2011
Online Access:	http://journalarticle.ukm.my/2897/ http://journalarticle.ukm.my/2897/ http://journalarticle.ukm.my/2897/1/jqma-7-1-12-zanariah.pdf

id	ukm-2897
recordtype	eprints
spelling	ukm-28972016-12-14T06:32:58Z http://journalarticle.ukm.my/2897/ Solving nonlinear two point boundary value problem using two step direct method (Menyelesaikan masalah nilai sempadan dua titik tak linear menggunakan kaedah langsung dua langkah ) Phang, Pei See Zanariah Abdul Majid, Mohamed Suleiman, 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. Penerbit Universiti Kebangsaan Malaysia 2011-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/2897/1/jqma-7-1-12-zanariah.pdf Phang, Pei See and Zanariah Abdul Majid, and Mohamed Suleiman, (2011) Solving nonlinear two point boundary value problem using two step direct method (Menyelesaikan masalah nilai sempadan dua titik tak linear menggunakan kaedah langsung dua langkah ). Journal of Quality Measurement and Analysis, 7 (1). pp. 129-140. ISSN 1823-5670 http://www.ukm.my/~ppsmfst/jqma
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
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 Zanariah Abdul Majid, Mohamed Suleiman,
spellingShingle	Phang, Pei See Zanariah Abdul Majid, Mohamed Suleiman, Solving nonlinear two point boundary value problem using two step direct method (Menyelesaikan masalah nilai sempadan dua titik tak linear menggunakan kaedah langsung dua langkah )
author_facet	Phang, Pei See Zanariah Abdul Majid, Mohamed Suleiman,
author_sort	Phang, Pei See
title	Solving nonlinear two point boundary value problem using two step direct method (Menyelesaikan masalah nilai sempadan dua titik tak linear menggunakan kaedah langsung dua langkah )
title_short	Solving nonlinear two point boundary value problem using two step direct method (Menyelesaikan masalah nilai sempadan dua titik tak linear menggunakan kaedah langsung dua langkah )
title_full	Solving nonlinear two point boundary value problem using two step direct method (Menyelesaikan masalah nilai sempadan dua titik tak linear menggunakan kaedah langsung dua langkah )
title_fullStr	Solving nonlinear two point boundary value problem using two step direct method (Menyelesaikan masalah nilai sempadan dua titik tak linear menggunakan kaedah langsung dua langkah )
title_full_unstemmed	Solving nonlinear two point boundary value problem using two step direct method (Menyelesaikan masalah nilai sempadan dua titik tak linear menggunakan kaedah langsung dua langkah )
title_sort	solving nonlinear two point boundary value problem using two step direct method (menyelesaikan masalah nilai sempadan dua titik tak linear menggunakan kaedah langsung dua langkah )
publisher	Penerbit Universiti Kebangsaan Malaysia
publishDate	2011
url	http://journalarticle.ukm.my/2897/ http://journalarticle.ukm.my/2897/ http://journalarticle.ukm.my/2897/1/jqma-7-1-12-zanariah.pdf
first_indexed	2023-09-18T19:37:19Z
last_indexed	2023-09-18T19:37:19Z
_version_	1777405357388201984

Solving nonlinear two point boundary value problem using two step direct method (Menyelesaikan masalah nilai sempadan dua titik tak linear menggunakan kaedah langsung dua langkah )

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