PERCEPATAN METODE THUKRAL ORDE TIGA UNTUK MENENTUKAN AKAR GANDA PERSAMAAN NONLINEAR

Abstract

This article discusses the acceleration of the Thukral's third order method by intro- ducing parameters for nding multiple roots of nonlinear equations. This method requires four function evaluations for each iteration. Analytically it is showed that using the Taylor's expansion and geometric series the iterative method has order of convergence four. Computational tests show that the method converges to the root of the nonlinear equation faster than the other mentioned methods.