ABSTRACT

The objective of this paper is two folds, first to derive a new series of third order methods for solving non-linear equation f(x)=0 involving third, fourth and fifth derivatives of f and secondly to compare the existing methods (for the solution of f(x)=0) having various derivatives of f by calculating their time estimates on different examples. It is seen that the new methods take the least time among all other methods in its own family of particular derivatives, using same value of tolerance as stopping criteria.