New third order convergence iterative method for finding multiple roots of nonlinear equations
In this paper, we derive a new modified third order convergence iterative methods for computing multiple roots of non-linear equations. Our proposed scheme requires one evaluation of function and two evaluations of first derivative. Error term is proved to possess a third order. Numerical performa...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Malaysian Mathematical Sciences Society and Universiti Putra Malaysia
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/75076/1/New%20third.pdf http://psasir.upm.edu.my/id/eprint/75076/ http://einspem.upm.edu.my/ojs/index.php/dismath/article/view/20 |
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| Summary: | In this paper, we derive a new modified third order convergence iterative methods for computing multiple roots of non-linear equations. Our proposed scheme requires one evaluation of function and two evaluations of first derivative. Error term is proved to possess a third order.
Numerical performance shows that the proposed method provides a highest accuracy results as compared to other existing third order iterative methods. |
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