New perturbation-iteration solutions of singular Emden-Fowler equations

Dolapci I. T., Pakdemirli M.

Mathematics in Engineering, Science and Aerospace, cilt.13, sa.4, ss.1015-1026, 2022 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 4
  • Basım Tarihi: 2022
  • Dergi Adı: Mathematics in Engineering, Science and Aerospace
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1015-1026
  • Anahtar Kelimeler: Perturbation methods, Perturbation-iteration algorithm, Singular emden-fowler equations
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

The new perturbation-iteration algorithm which has been applied previously to first order equations and Bratu type equations is implemented for solving singular Emden-Fowler differential equations. The simplest iteration algorithm is used and it is shown that the series solutions of this method produces compatible solutions with the exact solutions