Abstract
In this paper a new fourth-order iterative method is suggested for solving systems of nonlinear equations by using weighted method, which is an improvement of the scheme given by Noor and Waseem. It accelerates the order of convergence from three to four without using more functional evaluations. Due to this, the efficiency index of the considered method has been increased which is shown graphically. Finally, numerical examples are given to evaluate the accuracy of the proposed method by comparing with some existing third-and fourth-order methods.
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Choubey, N., Jaiswal, J.P. Improving the Order of Convergence and Efficiency Index of an Iterative Method for Nonlinear Systems. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 86, 221–227 (2016). https://doi.org/10.1007/s40010-016-0266-0
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DOI: https://doi.org/10.1007/s40010-016-0266-0