Bülbül B.Sezer M.2024-07-222024-07-22201500963003http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/16284In 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. © 2015 Elsevier Inc.EnglishAlgorithmsDifferential equationsNumerical methodsRiccati equationsAbel-type equationsApproximate solutionHigh-accuracyNonlinear differential equationNumerical approachesPower series methodRiccati differential equationTaylor matrix methodsNonlinear equationsArticle10.1016/j.amc.2015.04.057