A Predictor-Corrector Algorithm for Finding All Zeros of Nonlinear Equations

Authors

  • Behzad Kafash Yazd University
  • Mohamad Mehdi Hosseini Yazd University

DOI:

https://doi.org/10.30495/jme.v8i0.202

Keywords:

Solution of Non-Linear Equations, Adomian Decomposition Method, Convergence Conditions of Adomian Decomposition Method

Abstract

In this paper, an efficient algorithm is proposed to approximate all real solutions of a nonlinear equation. This algorithm is based on the conditions of the convergence of Adomian decomposition method for solving functional equations. The proposed algorithm is well done, particularly, when we desire to obtain more than one solution of a nonlinear equation with using only one initial solution. The scheme is tested for some examples and the obtained results demonstrate reliability and efficiency of the proposed algorithm.

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Published

2015-01-05

Issue

Vol. 8

Section

Vol. 8, No. 4, (2014)

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