@article{(Open Science Index):https://publications.waset.org/pdf/13005, title = {New Newton's Method with Third-order Convergence for Solving Nonlinear Equations}, author = {Osama Yusuf Ababneh}, country = {}, institution = {}, abstract = {For the last years, the variants of the Newton-s method with cubic convergence have become popular iterative methods to find approximate solutions to the roots of non-linear equations. These methods both enjoy cubic convergence at simple roots and do not require the evaluation of second order derivatives. In this paper, we present a new Newton-s method based on contra harmonic mean with cubically convergent. Numerical examples show that the new method can compete with the classical Newton's method. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {6}, number = {1}, year = {2012}, pages = {118 - 120}, ee = {https://publications.waset.org/pdf/13005}, url = {https://publications.waset.org/vol/61}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 61, 2012}, }