Abstract:
This article project proposes a new iteration method to be formed by using Taylor
expansion and derivative approximation for solving nonlinear equations with convergence
order is four and efficiency index is 1.4142. This method succeeds in finding
the expected nearly root with a known initial value, while the comparison method
fails to find the nearly root even with the same convergence order. This method
may be used as an alternative method for solving nonlinear equations.