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Zbl 1187.34081
Alomari, A.K.; Noorani, M.S.M.; Nazar, R.
Solution of delay differential equation by means of homotopy analysis method. (English)
[J] Acta Appl. Math. 108, No. 2, 395-412 (2009). ISSN 0167-8019; ISSN 1572-9036/e

The paper contains an algorithm of approximate analytical solution of delay differential equations based on the homotopy analysis method and modified homotopy analysis method. Several examples of linear, nonlinear and systems of initial value problems of delay differential equations are solved by these algorithms. The convergence of the methods is proved.
[M. Serban (Cluj-Napoca)]

MSC 2000:: *34K07 Theoretical approximation of solutions of FDE
34K05 General theory of functional-differential equations
34K28 Numerical approximation of solutions of FDE

Keywords: homotopy analysis method; modified homotopy analysis method; convergent solution; delay differential equation

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