The Optimal q-Homotopy Analysis Method (Oq-HAM)

Authors

  • Shaheed N Huseen Cairo university
  • Said R.Grace Cairo University, Faculty of Engineering, Giza
  • Magdy A. El-Tawil Cairo University, Faculty of Engineering, Giza

DOI:

https://doi.org/10.24297/ijct.v11i8.3003

Keywords:

Optimal q-homotopy analysis method, Convergence-control parameter.

Abstract

In this paper, an optimal q-homotopy analysis method (Oq-HAM) is proposed. We present some examples to show the reliability and efficiency of the method. It is compared with the one-step optimal homotopy analysis method. The results reveal that the Oq-HAM has more accuracy to determine the convergence-control parameter than the one-step optimal HAM.

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Author Biographies

Shaheed N Huseen, Cairo university

Professor, Mathematics Department

Said R.Grace, Cairo University, Faculty of Engineering, Giza

Engineering Mathematics Department

Magdy A. El-Tawil, Cairo University, Faculty of Engineering, Giza

Engineering Mathematics Department

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Published

2013-11-20

How to Cite

Huseen, S. N., R.Grace, S., & A. El-Tawil, M. (2013). The Optimal q-Homotopy Analysis Method (Oq-HAM). INTERNATIONAL JOURNAL OF COMPUTERS &Amp; TECHNOLOGY, 11(8), 2859–2866. https://doi.org/10.24297/ijct.v11i8.3003

Issue

Section

Research Articles