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A Family of Iterative Schemes for Finding Zeros of Nonlinear Equations having Unknown Multiplicity |
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PP: 2367-2373 |
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Author(s) |
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Muhammad Aslam Noor,
Farooq Ahmed Shah,
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Abstract |
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| In this paper, we suggest and analyze a new family of iterative methods for finding zeros of multiplicity of nonlinear
equations by using the variational iteration technique. These new methods include the Halley method and its variants forms as special
cases. We also give several examples to illustrate the efficiency of these methods. Comparison with modified Newton method is also
given. These new methods can be considered as an alternative to the modified Newton method. This technique can be used to suggest
a wide class of new iterative methods for solving system of nonlinear equations. |
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