The Adomian decomposition method for solving delay differential equation. (English) Zbl 1069.65074

A numerical method based on the Adomian decomposition method which has been developed by G. Adomian [Solving frontier problems of physics: The decomposition method. Kluwer Academic Publishers (1994; Zbl 0802.65122)] is introduced for the approximate solution of delay differential equations. The algorithm is illustrated by studying an initial value problem. The results obtained are presented and show that only a few terms are required to obtain an approximate solution which is found to be accurate and efficient.


65L05 Numerical methods for initial value problems involving ordinary differential equations
34K28 Numerical approximation of solutions of functional-differential equations (MSC2010)
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations


Zbl 0802.65122
Full Text: DOI


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