Solutions of Nonlinear Delay Differential Equations by Daftardar-Jafari Method

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Turkish Journal of Mathematics and Computer Science
Volume: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 : 46 | Download : 10

Publication Date : 2018-12-29

Article Type : Conference Paper

Abstract :In this paper efficiency of Daftardar-Jafari Method insert ignore into journalissuearticles values(DJM); is compared with some other iterative methods, Adomian Decomposition Method insert ignore into journalissuearticles values(ADM); and Differential Transformation Method insert ignore into journalissuearticles values(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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