Is homotopy perturbation method the traditional Taylor series expansion


Turkyilmazoglu M.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.44, sa.3, ss.651-657, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Konu: 3
  • Basım Tarihi: 2015
  • Doi Numarası: 10.15672/hjms.2015449416
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Sayfa Sayıları: ss.651-657

Özet

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.