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Tan, Yue; Abbasbandy, Saeid

Homotopy analysis method for quadratic Riccati differential equation. (English) Zbl 1132.34305

Commun. Nonlinear Sci. Numer. Simul. 13, No. 3, 539-546 (2008).
Summary: The quadratic Riccati differential equation is solved by means of an analytic technique, namely the homotopy analysis method. Comparisons are made between Adomian’s decomposition method, homotopy perturbation method and the exact solution and the homotopy analysis method. The results reveal that the proposed method is very effective and simple.

Cited in 131 Documents

MSC:

34A45 Theoretical approximation of solutions to ordinary differential equations

Keywords:

Riccati equation; homotopy analysis method; homotopy perturbation method; adomian decomposition method
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References:

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