Higher order Homotopy Taylor-Pertubation via startsystem
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Institute of Engineering Mathematics, Universiti Malaysia Perlis
2014
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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 |
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Universiti Malaysia Perlis |
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English |
| topic |
Higher order Homotopy Perturbation Start-system Iterations Nonlinear |
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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 |
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Link to publisher's homepage at http://amci.unimap.edu.my |
| author2 |
norhanim@ppinang.uitm.e du.my |
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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 |