Improvements in the Bisection Method of finding roots of an equation

Bisection Method is one of the simplest methods in numerical analysis to find the roots of a non-linear equation. It is based on Intermediate Value Theorem. The algorithm proposed in this paper predicts the optimal interval in which the roots of the function may lie and then applies the bisection method to converge at the root within the tolerance range defined by the user. This algorithm also calculates another root of the equation, if that root lies just outside the range of the interval found.