Numerical Solution of Nonlinear Equations Using Multi-step Homotopy Perturbation Algorithm

  • Rasha Jalal Mitlif Applied Sciences Department, Mathematics and Computer Applications, University of Technology, Baghdad, Iraq.
Keywords: Multistep method, homotopy perturbation procedure, start system, nonlinear equation.


In this article, some new improvement for fifth order multistep method [1] is adopted with the idea of homotopy perturbation procedure to reach the solution of nonlinear equations in minimum number of iterations. Suggest way to identify a start system of the proposed method is also included within this work. The obtained results are compared in terms of the iterations number and the application of the presented method based on studding several examples.


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