Is homotopy perturbation method the traditional Taylor series expansion

M. Turkyilmazoglu

EN

Is homotopy perturbation method the traditional Taylor series expansion

Abstract

The present paper deals with the homotopy perturbation method. The question of whether the homotopy perturbation method is simply the conventional Taylor series expansion is examined. It is proven that under particular choices of the auxiliary parameters the homotopy perturbation method is indeed the Taylor series expansion of the sought solution of nonlinear equations.

Keywords

Nonlinearity,Analytic solution,Homotopy perturbation method

References

...

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

M. Turkyilmazoglu ^* This is me

Publication Date

June 1, 2015

Submission Date

March 7, 2013

Acceptance Date

-

Published in Issue

Year 2015 Volume: 44 Number: 3

IZ

https://izlik.org/JA83HH82AH

Cite

RIS / Bibtex

APA

Turkyilmazoglu, M. (2015). Is homotopy perturbation method the traditional Taylor series expansion. Hacettepe Journal of Mathematics and Statistics, 44(3), 651-657. https://izlik.org/JA83HH82AH

AMA

1.Turkyilmazoglu M. Is homotopy perturbation method the traditional Taylor series expansion. Hacettepe Journal of Mathematics and Statistics. 2015;44(3):651-657. https://izlik.org/JA83HH82AH

Chicago

Turkyilmazoglu, M. 2015. “Is Homotopy Perturbation Method the Traditional Taylor Series Expansion”. Hacettepe Journal of Mathematics and Statistics 44 (3): 651-57. https://izlik.org/JA83HH82AH.

EndNote

Turkyilmazoglu M (June 1, 2015) Is homotopy perturbation method the traditional Taylor series expansion. Hacettepe Journal of Mathematics and Statistics 44 3 651–657.

IEEE

[1]M. Turkyilmazoglu, “Is homotopy perturbation method the traditional Taylor series expansion”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 3, pp. 651–657, June 2015, [Online]. Available: https://izlik.org/JA83HH82AH

ISNAD

Turkyilmazoglu, M. “Is Homotopy Perturbation Method the Traditional Taylor Series Expansion”. Hacettepe Journal of Mathematics and Statistics 44/3 (June 1, 2015): 651-657. https://izlik.org/JA83HH82AH.

JAMA

1.Turkyilmazoglu M. Is homotopy perturbation method the traditional Taylor series expansion. Hacettepe Journal of Mathematics and Statistics. 2015;44:651–657.

MLA

Turkyilmazoglu, M. “Is Homotopy Perturbation Method the Traditional Taylor Series Expansion”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 3, June 2015, pp. 651-7, https://izlik.org/JA83HH82AH.

Vancouver

1.M. Turkyilmazoglu. Is homotopy perturbation method the traditional Taylor series expansion. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Jun. 1;44(3):651-7. Available from: https://izlik.org/JA83HH82AH