Improved hybrid methods in solving single variable nonlinear algebraic equations / Nor Hanim Abd Rahman
Nonlinear problem is one of the most frequently occurring problems in scientific works especially in science and engineering applications. Amongst the most popular schemes are the Newton’s method and homotopy perturbation method. However, the duration to converge are heavily depends on how close...
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Institute of Graduate Studies, UiTM
2017
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| Online Access: | http://ir.uitm.edu.my/id/eprint/18966/ http://ir.uitm.edu.my/id/eprint/18966/1/ABS_NOR%20HANIM%20ABD%20RAHMAN%20TDRA%20VOL%2012%20IGS%2017.pdf |
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uitm-189662018-06-07T01:52:23Z http://ir.uitm.edu.my/id/eprint/18966/ Improved hybrid methods in solving single variable nonlinear algebraic equations / Nor Hanim Abd Rahman Abd Rahman, Nor Hanim Analysis Nonlinear problem is one of the most frequently occurring problems in scientific works especially in science and engineering applications. Amongst the most popular schemes are the Newton’s method and homotopy perturbation method. However, the duration to converge are heavily depends on how close the guess value is to the real root/s and the rate of convergence for Newton’s method is only order-2 and its efficiency index is only ≈ 1.41421. Secondly, some of the methods utilized successive approximation procedure to ensure every step of computing will converge to the desired root and one of the most common problems is the improper initial values for the iterative methods. Thus, this particular research aims to develop an improved numerical solution for solving nonlinear equations by using hybrid concept and higher order correctional terms. Higher order successive approximations are applied and evaluated to ensure it converges to the desired root/s more effectively.. Institute of Graduate Studies, UiTM 2017 Book Section PeerReviewed text en http://ir.uitm.edu.my/id/eprint/18966/1/ABS_NOR%20HANIM%20ABD%20RAHMAN%20TDRA%20VOL%2012%20IGS%2017.pdf Abd Rahman, Nor Hanim (2017) Improved hybrid methods in solving single variable nonlinear algebraic equations / Nor Hanim Abd Rahman. In: The Doctoral Research Abstracts. IGS Biannual Publication, 12 (12). Institute of Graduate Studies, UiTM, Shah Alam. |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
Universiti Teknologi MARA |
| building |
UiTM Institutional Repository |
| collection |
Online Access |
| language |
English |
| topic |
Analysis |
| spellingShingle |
Analysis Abd Rahman, Nor Hanim Improved hybrid methods in solving single variable nonlinear algebraic equations / Nor Hanim Abd Rahman |
| description |
Nonlinear problem is one of the most frequently occurring problems
in scientific works especially in science and engineering applications.
Amongst the most popular schemes are the Newton’s method and
homotopy perturbation method. However, the duration to converge are
heavily depends on how close the guess value is to the real root/s and the
rate of convergence for Newton’s method is only order-2 and its efficiency
index is only ≈ 1.41421. Secondly, some of the methods utilized
successive approximation procedure to ensure every step of computing
will converge to the desired root and one of the most common problems is
the improper initial values for the iterative methods. Thus, this particular
research aims to develop an improved numerical solution for solving
nonlinear equations by using hybrid concept and higher order correctional
terms. Higher order successive approximations are applied and evaluated
to ensure it converges to the desired root/s more effectively.. |
| format |
Book Section |
| author |
Abd Rahman, Nor Hanim |
| author_facet |
Abd Rahman, Nor Hanim |
| author_sort |
Abd Rahman, Nor Hanim |
| title |
Improved hybrid methods in solving single variable nonlinear algebraic equations / Nor Hanim Abd Rahman |
| title_short |
Improved hybrid methods in solving single variable nonlinear algebraic equations / Nor Hanim Abd Rahman |
| title_full |
Improved hybrid methods in solving single variable nonlinear algebraic equations / Nor Hanim Abd Rahman |
| title_fullStr |
Improved hybrid methods in solving single variable nonlinear algebraic equations / Nor Hanim Abd Rahman |
| title_full_unstemmed |
Improved hybrid methods in solving single variable nonlinear algebraic equations / Nor Hanim Abd Rahman |
| title_sort |
improved hybrid methods in solving single variable nonlinear algebraic equations / nor hanim abd rahman |
| publisher |
Institute of Graduate Studies, UiTM |
| publishDate |
2017 |
| url |
http://ir.uitm.edu.my/id/eprint/18966/ http://ir.uitm.edu.my/id/eprint/18966/1/ABS_NOR%20HANIM%20ABD%20RAHMAN%20TDRA%20VOL%2012%20IGS%2017.pdf |
| first_indexed |
2023-09-18T23:01:34Z |
| last_indexed |
2023-09-18T23:01:34Z |
| _version_ |
1777418207960760320 |