Is homotopy perturbation method the traditional Taylor series expansion

M. Turkyilmazoglu

Research Article

Is homotopy perturbation method the traditional Taylor series expansion

Year 2015, Volume: 44 Issue: 3, 651 - 657, 01.06.2015

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

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Year 2015, Volume: 44 Issue: 3, 651 - 657, 01.06.2015

M. Turkyilmazoglu

Abstract

References

...

There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
Authors	M. Turkyilmazoglu This is me
Publication Date	June 1, 2015
Published in Issue	Year 2015 Volume: 44 Issue: 3

Cite

APA	Turkyilmazoglu, M. (2015). Is homotopy perturbation method the traditional Taylor series expansion. Hacettepe Journal of Mathematics and Statistics, 44(3), 651-657.
AMA	Turkyilmazoglu M. Is homotopy perturbation method the traditional Taylor series expansion. Hacettepe Journal of Mathematics and Statistics. June 2015;44(3):651-657.
Chicago	Turkyilmazoglu, M. “Is Homotopy Perturbation Method the Traditional Taylor Series Expansion”. Hacettepe Journal of Mathematics and Statistics 44, no. 3 (June 2015): 651-57.
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	M. Turkyilmazoglu, “Is homotopy perturbation method the traditional Taylor series expansion”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 3, pp. 651–657, 2015.
ISNAD	Turkyilmazoglu, M. “Is Homotopy Perturbation Method the Traditional Taylor Series Expansion”. Hacettepe Journal of Mathematics and Statistics 44/3 (June 2015), 651-657.
JAMA	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, 2015, pp. 651-7.
Vancouver	Turkyilmazoglu M. Is homotopy perturbation method the traditional Taylor series expansion. Hacettepe Journal of Mathematics and Statistics. 2015;44(3):651-7.