NUMERICAL METHOD OF MODIFIED NEWTON RAPHSON METHOD WITHOUT SECOND DERIVATIVE FOR SOLVING THE NONLINEAR EQUATIONS

Umair Khalid Qureshi; Zubair Ahmed Kalhoro

Umair Khalid Qureshi Department of Business Administration, Shaheed Benazir Bhutto University, Sanghar
Zubair Ahmed Kalhoro Department of Business Administration, Shaheed Benazir Bhutto University, Sanghar

Keywords: Nonlinear Equations, Second Order Methods, Difference Operator, Numerical Analysis.

Abstract

This paper presents a Numerical Method of Modified Newton Raphson method for Solving the Nonlinear equations. Finding the root of nonlinear equations is one of classical problem in numerical analysis, which arises frequently in various branches of science and engineering. The aim of this paper is to develop Numerical Method to find the approximation of the root of nonlinear equation without estimation second order derivatives. The proposed Method depend on Modified Newton Raphson method and difference operator. The benefit of proposed method is that it is converged quadratically, and it doesn’t require to compute second derivative. The proposed method is very efficient and convenient for solving root of nonlinear equations. Its theoretical results and high computational efficiency is confirmed by Numerical examples.