Extrapolated Newton-Raphson method for solving functions of two dimensions.

Abstract

The purpose of this study is to extrapolated Newton- Raphson method for solving functions of two variables . we compare the two different methods of solving functions of two variables. To describe the procedures and the techniques that can be followed in extrapolated Newton Raphson method for solving functions of two variables. To analyze the convergence of the proposed method. To explain the advantages of the proposed method over the existing methods. The intention of this study is to introduced a new method and compare its result with that of Newton-Raphson method. Thus, from discussion of the results, it is easily observed that Extrapolated Newton’s method is the efficient the method to solve systems of nonlinear equations with two variables. One practical example of systems of nonlinear equations is considered. Analysis of the results shows that the Newton’s method takes 4 iterations to converge and Extrapolated Newton’s method converges after three iterations as per the error of tolerance considered.