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Mathematical Sciences Letters
An International Journal


Volumes > Vol. 4 > No. 2


Variational Iteration Technique for Constructing Methods for Solving Nonlinear Equations

PP: 145-152
Muhammad Aslam Noor, Farooq Ahmed Shah,
In this paper, we use the variational iteration technique to suggest some iterative methods for solving the nonlinear equations involving an auxiliary function. For appropriate and suitable choice of the auxiliary function,one can obtain a wide class of iterative methods for solving the nonlinear equations, which is a novel aspect of this technique. Convergence analysis of the proposed method is investigated. Several examples are given to illustrate the efficiency and implementation of the proposed new methods. Comparison with other methods is also given. These new methods can be considered as alternative to the developed methods. This technique can be used to suggest a wide class of new iterative methods for solving nonlinear equations.

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