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

Bülbül B., Sezer M.

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

  • Publication Type: Article / Article
  • Volume: 262
  • Publication Date: 2015
  • Doi Number: 10.1016/j.amc.2015.04.057
  • Journal Name: Applied Mathematics and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.169-177
  • Keywords: Nonlinear differential equations, Taylor matrix method, Power series method, Abel-type equations
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

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.