Abstract / Excerpt:

In this paper, a new one-step method iterative method for solving nonlinear equations, which inherits the advantages of both Newton's and Steffensen's methods is presented. Moreover, a two-step method of second-order in proposed by combining it with the regula falsi method. This new two-step method present attractive features such as being independent of the initial values in the iterative interval, or being adaptive for the iterative formulas. The convergence of the iterative sequences is deduced. Finally, numerical experiments will verify the merits.

Info

Source Institution	Ateneo de Davao University
Unit	Natural Science and Mathematics
Authors	Ediong, Silverio J.
Page Count	-0
Place of Publication	Davao City
Original Publication Date	March 1, 2011
Tags	Differential Equations, Dissertations, Mathematics, Research, Study and Teaching, nonlinear

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