Solutions of Nonlinear Delay Differential Equations by Daftardar-Jafari Method

Year 2018, Volume: 10, 95 - 106, 29.12.2018

Volkan Yaman , Bulent Yilmaz

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

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