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Zbl 1132.34305
Tan, Yue; Abbasbandy, Saeid
Homotopy analysis method for quadratic Riccati differential equation.
(English)
[J] Commun. Nonlinear Sci. Numer. Simul. 13, No. 3, 539-546 (2008). ISSN 1007-5704

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.
MSC 2000:
*34A45 Theoretical approximation of solutions of ODE

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

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