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New Eighth and Sixteenth Order Iterative Methods to Solve Nonlinear Equations

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Abstract

In this work we proposed two new higher order iterative methods to solve nonlinear equations. These methods based on the method Rafiullah (Numer Anal Appl 4(3):239–243, 2011) which is fifth-order. The Lagrange interpolation is used to improve the convergence order and efficiency index of the method. Convergence order of new methods are proved analytically. Some test problems are given to show the efficiency of the proposed methods.

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Authors and Affiliations

  1. Department of Mathematics, COMSATS Institute of Information Technology, Lahore, Pakistan

    Muhammad Rafiullah

  2. Faculty of Engineering Science and Technology, Hamdard Univeristy, Karachi, Pakistan

    Dure Jabeen

Authors
  1. Muhammad Rafiullah
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  2. Dure Jabeen
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Correspondence to Muhammad Rafiullah.

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Rafiullah, M., Jabeen, D. New Eighth and Sixteenth Order Iterative Methods to Solve Nonlinear Equations. Int. J. Appl. Comput. Math 3, 2467–2476 (2017). https://doi.org/10.1007/s40819-016-0245-9

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  • DOI: https://doi.org/10.1007/s40819-016-0245-9

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