Performance of modified non-linear shooting method for simulation of 2nd order two-point BVPS

In this research article, numerical solution of nonlinear 2nd order two-point boundary value problems (TPBVPs) is discussed by the help of nonlinear shooting method (NLSM), and through the modified nonlinear shooting method (MNLSM). In MNLSM, fourth order Runge-Kutta method for systems is replaced b...

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Main Authors: Alias, N., Manaf, A., Habib, M.
Format: Article
Language:English
Published: Penerbit UTM Press 2016
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Online Access:http://eprints.utm.my/id/eprint/74598/1/AbdulManaf2016_PerformanceofModifiedNonLinearShooting.pdf
http://eprints.utm.my/id/eprint/74598/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84988430442&doi=10.11113%2fjt.v78.9541&partnerID=40&md5=a1922c75a8e59b0e4cc8bdcb40dd2c20
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spelling my.utm.745982017-11-28T06:27:34Z http://eprints.utm.my/id/eprint/74598/ Performance of modified non-linear shooting method for simulation of 2nd order two-point BVPS Alias, N. Manaf, A. Habib, M. Q Science (General) In this research article, numerical solution of nonlinear 2nd order two-point boundary value problems (TPBVPs) is discussed by the help of nonlinear shooting method (NLSM), and through the modified nonlinear shooting method (MNLSM). In MNLSM, fourth order Runge-Kutta method for systems is replaced by Adams Bashforth Moulton method which is a predictor-corrector scheme. Results acquired numerically through NLSM and MNLSM of TPBVPs are discussed and analyzed. Results of the tested problems obtained numerically indicate that the performance of MNLSM is rapid and provided desirable results of TPBVPs, meanwhile MNLSM required less time to implement as comparable to the NLSM for the solution of TPBVPs. Penerbit UTM Press 2016 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/74598/1/AbdulManaf2016_PerformanceofModifiedNonLinearShooting.pdf Alias, N. and Manaf, A. and Habib, M. (2016) Performance of modified non-linear shooting method for simulation of 2nd order two-point BVPS. Jurnal Teknologi, 78 (8-2). pp. 50-56. ISSN 0127-9696 https://www.scopus.com/inward/record.uri?eid=2-s2.0-84988430442&doi=10.11113%2fjt.v78.9541&partnerID=40&md5=a1922c75a8e59b0e4cc8bdcb40dd2c20
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic Q Science (General)
spellingShingle Q Science (General)
Alias, N.
Manaf, A.
Habib, M.
Performance of modified non-linear shooting method for simulation of 2nd order two-point BVPS
description In this research article, numerical solution of nonlinear 2nd order two-point boundary value problems (TPBVPs) is discussed by the help of nonlinear shooting method (NLSM), and through the modified nonlinear shooting method (MNLSM). In MNLSM, fourth order Runge-Kutta method for systems is replaced by Adams Bashforth Moulton method which is a predictor-corrector scheme. Results acquired numerically through NLSM and MNLSM of TPBVPs are discussed and analyzed. Results of the tested problems obtained numerically indicate that the performance of MNLSM is rapid and provided desirable results of TPBVPs, meanwhile MNLSM required less time to implement as comparable to the NLSM for the solution of TPBVPs.
format Article
author Alias, N.
Manaf, A.
Habib, M.
author_facet Alias, N.
Manaf, A.
Habib, M.
author_sort Alias, N.
title Performance of modified non-linear shooting method for simulation of 2nd order two-point BVPS
title_short Performance of modified non-linear shooting method for simulation of 2nd order two-point BVPS
title_full Performance of modified non-linear shooting method for simulation of 2nd order two-point BVPS
title_fullStr Performance of modified non-linear shooting method for simulation of 2nd order two-point BVPS
title_full_unstemmed Performance of modified non-linear shooting method for simulation of 2nd order two-point BVPS
title_sort performance of modified non-linear shooting method for simulation of 2nd order two-point bvps
publisher Penerbit UTM Press
publishDate 2016
url http://eprints.utm.my/id/eprint/74598/1/AbdulManaf2016_PerformanceofModifiedNonLinearShooting.pdf
http://eprints.utm.my/id/eprint/74598/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84988430442&doi=10.11113%2fjt.v78.9541&partnerID=40&md5=a1922c75a8e59b0e4cc8bdcb40dd2c20
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score 13.211869