Approach for Evaluation of the Optimal Convergence Control Parameter in the Homotopy Analysis Method

@inproceedings{Turkyilmazoglu2016ApproachFE,
  title={Approach for Evaluation of the Optimal Convergence Control Parameter in the Homotopy Analysis Method},
  author={Mustafa Turkyilmazoglu},
  year={2016}
}
Abstract. A rapid and effective way of working out the optimum parameter of convergence control in the homotopy analysis method (HAM) is introduced in this paper. As compared with the already known ways of evaluating the convergence control parameter in HAM either through the classical h−level curves with h being the convergence control parameter or from the classical squared residual formula as adopted in the HAM society, an elegant way of calculating the convergence control parameter yielding… CONTINUE READING
11 Citations
19 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 11 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 19 references

Advances in the Homotopy Analysis Method

  • S. J. Liao
  • World Scientific
  • 2014
Highly Influential
8 Excerpts

Homotopy Analysis Method in Nonlinear Differential Equations

  • S. J. Liao
  • Springer-Verlag
  • 2012
Highly Influential
8 Excerpts

Ismail

  • M. Ghoreishi, A.I.B.
  • A. K. Alomari, Application of the homotopy…
  • 2011
Highly Influential
5 Excerpts

Beyond perturbation: introduction to homotopy analysis method

  • S. J. Liao
  • Chapman & Hall/CRC
  • 2003
Highly Influential
5 Excerpts

An effective approach for approximate analytical solutions of the damped Duffing equation

  • M. Turkyilmazoglu
  • Physica Scripta 86
  • 2012
1 Excerpt

Homotopy perturbation study of nonlinear vibration of Von Karman rectangular plates

  • M. M. Rashidi, A. Shooshtari, O. Anwar Beg
  • Computers and Structures 106
  • 2012
1 Excerpt

The airy equation and its alternative analytic solution

  • M. Turkyilmazoglu
  • Physica Scripta 86
  • 2012
1 Excerpt

Application of the homotopy analysis method for solving a model for HIV infection of CD 4 + T - cells

  • A. I. B. Ghoreishi, A. K. Alomari Ismail
  • Mathematical and Computer Modelling
  • 2011

Numerical and analytical solutions for the flow and heat transfer near the equator of an Mhd boundary layer over a porous rotating sphere

  • M. Turkyilmazoglu
  • International Journal of Thermal Sciences, 50
  • 2011
1 Excerpt

Similar Papers

Loading similar papers…