Extrapolation-Newton Iterative Solution for Nonlinear Equation

Raghad I. Sabri

Abstract


In this paper, the solution of the nonlinear equation is evaluated using Newton method, and then an extrapolation procedure with Aitken method is applied to improve and accelerated the Newton solution by reducing the number of iterations in order to find the roots of the nonlinear equation with minimum iterations. Several examples are solved using Newton Aitken technique. The comparison based on depending on the number of iterations. 

Keywords


Extrapolation method, Newton method, Aitken algorithm.

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