A numerical approach for solving generalized Abel-type nonlinear differential equations

Bülbül B., Sezer M.

Applied Mathematics and Computation, cilt.262, ss.169-177, 2015 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 262
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.amc.2015.04.057
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.169-177
  • Anahtar Kelimeler: Nonlinear differential equations, Taylor matrix method, Power series method, Abel-type equations
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, a numerical power series algorithm which is based on the improved Taylor matrix method is introduced for the approximate solution of Abel-type differential equations and also, Riccati differential equations. The technique is defined and illustrated with some numerical examples. The obtained results reveal that the method is very effective, simple and valid high accuracy. The method can be easily extended to other nonlinear equations.