New perturbation-iteration solutions of singular Emden-Fowler equations

Dolapci I. T., Pakdemirli M.

Mathematics in Engineering, Science and Aerospace, vol.13, no.4, pp.1015-1026, 2022 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 4
  • Publication Date: 2022
  • Journal Name: Mathematics in Engineering, Science and Aerospace
  • Journal Indexes: Scopus
  • Page Numbers: pp.1015-1026
  • Keywords: Perturbation methods, Perturbation-iteration algorithm, Singular emden-fowler equations
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

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