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Higher order Homotopy Taylor-Pertubation via startsystem

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Main Authors: Nor Hanim, Abd Rahman, Dr., Arsmad, Ibrahim, Prof. Dr., Mohd Idris, Jayes
Other Authors: norhanim@ppinang.uitm.e du.my
Format: Article
Language:English
Published: Institute of Engineering Mathematics, Universiti Malaysia Perlis 2014
Subjects:
Higher order Homotopy
Perturbation
Start-system
Iterations
Nonlinear
Online Access:http://dspace.unimap.edu.my:80/dspace/handle/123456789/35617
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spelling my.unimap-356172018-07-24T01:54:16Z Higher order Homotopy Taylor-Pertubation via startsystem Nor Hanim, Abd Rahman, Dr. Arsmad, Ibrahim, Prof. Dr. Mohd Idris, Jayes norhanim@ppinang.uitm.e du.my Higher order Homotopy Perturbation Start-system Iterations Nonlinear Link to publisher's homepage at http://amci.unimap.edu.my One of the problems in iterations is to determine the best initial value and to ensure the convergence of the iterations. So, the objective is to evaluate the effectiveness of higher order approximated solutions of Homotopy Taylor-perturbation using start-system to overcome the problems. Successive approximation procedures using start-system technique are applied to the Classical Newton-Raphson, the Newton-perturbation, the Higher Order Taylor-perturbation and the new higher order Homotopy Taylor-perturbation (HHTP). The results are compared and evaluated. Numerical examples are given to illustrate and support the suggested algorithms. Results show that HHTP offers as an alternative and effective way in solving nonlinear equations. 2014-06-17T09:13:49Z 2014-06-17T09:13:49Z 2013 Article Applied Mathematics and Computational Intelligence (AMCI), vol.2 (1), 2013, pages 85-94 2289-1315 (print) 2289-1323 (online) http://dspace.unimap.edu.my:80/dspace/handle/123456789/35617 http://amci.unimap.edu.my/Vol_2_1_2013/03.html en Institute of Engineering Mathematics, Universiti Malaysia Perlis
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Higher order Homotopy
Perturbation
Start-system
Iterations
Nonlinear
spellingShingle Higher order Homotopy
Perturbation
Start-system
Iterations
Nonlinear
Nor Hanim, Abd Rahman, Dr.
Arsmad, Ibrahim, Prof. Dr.
Mohd Idris, Jayes
Higher order Homotopy Taylor-Pertubation via startsystem
description Link to publisher's homepage at http://amci.unimap.edu.my
author2 norhanim@ppinang.uitm.e du.my
author_facet norhanim@ppinang.uitm.e du.my
Nor Hanim, Abd Rahman, Dr.
Arsmad, Ibrahim, Prof. Dr.
Mohd Idris, Jayes
format Article
author Nor Hanim, Abd Rahman, Dr.
Arsmad, Ibrahim, Prof. Dr.
Mohd Idris, Jayes
author_sort Nor Hanim, Abd Rahman, Dr.
title Higher order Homotopy Taylor-Pertubation via startsystem
title_short Higher order Homotopy Taylor-Pertubation via startsystem
title_full Higher order Homotopy Taylor-Pertubation via startsystem
title_fullStr Higher order Homotopy Taylor-Pertubation via startsystem
title_full_unstemmed Higher order Homotopy Taylor-Pertubation via startsystem
title_sort higher order homotopy taylor-pertubation via startsystem
publisher Institute of Engineering Mathematics, Universiti Malaysia Perlis
publishDate 2014
url http://dspace.unimap.edu.my:80/dspace/handle/123456789/35617
_version_ 1643804039298678784
score 13.222552

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