Some Class of Third- and Fourth-Order Iterative Methods for Solving Nonlinear Equations
The object of the present work is to give the new class of third- and fourth-order iterative methods for solving nonlinear equations. Our proposed third-order method includes methods of Weerakoon and Fernando (2000), Homeier (2005), and Chun and Kim (2010) as particular cases. The multivariate exte...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/817656 |
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| Summary: | The object of the present work is to give the new class of
third- and fourth-order iterative methods for solving nonlinear equations. Our proposed third-order method includes methods of Weerakoon and Fernando (2000), Homeier (2005), and Chun and Kim (2010) as particular cases. The multivariate extension of some of these
methods has been also deliberated. Finally, some numerical examples
are given to illustrate the performances of our proposed methods by
comparing them with some well existing third- and fourth-order methods. The efficiency of our proposed fourth-order method over some
fourth-order methods is also confirmed by basins of attraction. |
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| ISSN: | 1110-757X 1687-0042 |