TY - JFULL AU - Ibrahim Abu-Alshaikh PY - 2007/6/ TI - A New Iterative Method for Solving Nonlinear Equations T2 - International Journal of Mathematical and Computational Sciences SP - 246 EP - 250 VL - 1 SN - 1307-6892 UR - https://publications.waset.org/pdf/2678 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 5, 2007 N2 - In this study, a new root-finding method for solving nonlinear equations is proposed. This method requires two starting values that do not necessarily bracketing a root. However, when the starting values are selected to be close to a root, the proposed method converges to the root quicker than the secant method. Another advantage over all iterative methods is that; the proposed method usually converges to two distinct roots when the given function has more than one root, that is, the odd iterations of this new technique converge to a root and the even iterations converge to another root. Some numerical examples, including a sine-polynomial equation, are solved by using the proposed method and compared with results obtained by the secant method; perfect agreements are found. ER -