Some Classes of third and Fourth-order iterative methods for solving nonlinear equations
Abstract
The object of the present work is to present the new classes of third-order and fourth-order iterative methods for solving nonlinear equations. Our third-order method includes methods of Weerakoon Weerakoon, Homeier Homeier2, Chun Chun e.t.c. as particular cases. After that we make this third-order method to fourth-order (optimal) by using a single weight function rather than using two different weight functions in Soleymani. Finally some examples are given to illustrate the performance of the our method by comparing with new existing third and fourth-order methods.
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