Improved Ujević method for finding zeros of linear and nonlinear equations

  IJMTT-book-cover
 
International Journal of Mathematical Trends and Technology (IJMTT)          
 
© 2012 by IJMTT Journal
Volume-3 Issue-2                           
Year of Publication : 2012
Authors : Anup Kumar Thander, Goutam Mandal

MLA

Anup Kumar Thander, Goutam Mandal "Improved Ujević method for finding zeros of linear and nonlinear equations"International Journal of Mathematical Trends and Technology (IJMTT),V3(2):74-77.June 2012. Published by Seventh Sense Research Group.

Abstract
In this paper, we suggest a new predictor- corrector method for solving nonlinear equations by combining Halley’s method and Ujević method. The method is verified on a number of test examples and numerical results show that the proposed method is very effective with respect to Ujević method and Newton’s method for finding zeros of nonlinear equations.

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Keywords
Halley’s method, Ujević method, Numerical examples, Nonlinear equations, Newton’s method