Determination of Approximated Root of Nonlinear Equation by Interpolation Technique

Abstract

This beautiful universe is full of mathematical and engineering problems involving nonlinear equations 𝑓(𝑥)=0. The main theme of this paper is to develop an Algorithm to enhance the speed and convergence of bracketing methods for determining the root of nonlinear equations. For this cause, Newton forward interpolation difference formula and Bisection Method are recruit. Developed interpolation technique method guarantees that it converges towards thereal root faster than Bisection Method and RegulaFalsi Method. Few numerical examples are also conferred in this paper to inspect the efficiency of developed method and compared with other existing methods. It is examined from the results that the performance of developed method is better than the existing methods such as Bisection Method and RegulaFalsi Method.