Article
Kyungpook Mathematical Journal 2022; 62(4): 729-736
Published online December 31, 2022
Copyright © Kyungpook Mathematical Journal.
Series Solution of High Order Abel, Bernoulli, Chini and Riccati Equations
Henk Koppelaar∗, Peyman Nasehpour
Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, Delft, The Netherlands
e-mail : Koppelaar.Henk@gmail.com
Department of Engineering Science, Golpayegan University of Technology, Golpayegan, Iran
e-mail : nasehpour@gut.ac.ir and nasehpour@gmail.com
Received: June 17, 2021; Revised: May 13, 2022; Accepted: May 31, 2022
To help solving intractable nonlinear evolution equations (NLEEs) of waves in the field of fluid dynamics we develop an algorithm to find new high order solutions of the class of Abel, Bernoulli, Chini and Riccati equations of the form
Keywords: Abel equation, Bernoulli equation, Chini equation, JCPMiller algorithm, Riccati equation, series solution