Turkish Journal of Mathematics and Computer Science

Yazarlar: Volkan YAMAN, Bulent YİLMAZ

Konular:Mühendislik

Anahtar Kelimeler:Delay differential equations,Daftardar-Jafari,Adomian decomposition,Differential transformation

Özet: 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.

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