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Variational Iteration Technique and Some Methods for the Approximate Solution of Nonlinear Equations |
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PP: 85-93 |
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Author(s) |
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Farooq Ahmed Shah,
Muhammad Aslam Noor,
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Abstract |
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In this paper, we suggest and analyze a new recurrence relation
which generates the iterative methods of higher order for solving
nonlinear equation f(x) = 0: This general recurrence relation is ob-
tained by using variational iteration technique. We purpose some new iterative methods for solving nonlinear equations. We also test dierent examples to illustrate the eciency of these new methods. Comparison with other similar methods is also given. These new
methods can also be considered as alternative to the existing methods. This technique can be applied to suggest a wide class of new iterative methods for solving nonlinear equations. |
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