Halley Irrational-Homotopy Analysis Method

Authors

  • Amal Shalouf

  • Mohd Salmi Noorani

Received date: July 7, 2012

Accepted date: July 31, 2012

Published date: August 5, 2012

DOI:

https://doi.org/10.14419/ijamr.v1i3.202

Abstract

In this paper we investigate Halley irrational-homotopy analysis method as a new technique to find approximate solution of nonlinear equations, where complex and real roots are founded and in many cases we have two solutions. The Halley’s irrational formula developed to determine the auxiliary (arbitrary) parameter in HAM. Furthermore, we also discuss in detail the order of convergence of this method. In order to validated and substantiate the performance of our contributed scheme, we give some examples.

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How to Cite

Shalouf, A., & Noorani, M. S. (2012). Halley Irrational-Homotopy Analysis Method. International Journal of Applied Mathematical Research, 1(3), 360-370. https://doi.org/10.14419/ijamr.v1i3.202

Received date: July 7, 2012

Accepted date: July 31, 2012

Published date: August 5, 2012