- Turkish Journal of Mathematics and Computer Science
- Vol: 10 Special Issue
- Solutions of Nonlinear Delay Differential Equations by Daftardar-Jafari Method
Solutions of Nonlinear Delay Differential Equations by Daftardar-Jafari Method
Authors : Volkan YAMAN, Bulent YİLMAZ
Pages : 95-106
View : 6 | Download : 2
Publication Date : 2018-12-29
Article Type : Other
Abstract :In this paper efficiency of Daftardar-Jafari Method (DJM) is compared with some other iterative methods, Adomian Decomposition Method (ADM) and Differential Transformation Method (DTM) in obtaining approximate solutions of nonlinear differential equations with proportional delay. As all these 3 methods consider solutions in series form it is important to know about their convergence rate to the exact solution. We analyse the n-term approximation of the series solutions of these 3 methods with 3 numerical examples to see if DJM is as good as ADM and DTM in solving nonlinear delay differential equations. The results show DJM approaches to the exact solution with fewer iterations compared with ADM and DTM.Keywords : Delay differential equations, Daftardar-Jafari, adomian decomposition, differential transformation