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Zbl 1088.65063
Abbasbandy, S.
Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method. (English)
[J] Appl. Math. Comput. 172, No. 1, 485-490 (2006). ISSN 0096-3003

Summary: A homotopy perturbation method is proposed to solve quadratic Riccati differential equations. Comparisons are made between Adomian's decomposition method and the exact solution and the proposed method. The results reveal that the proposed method is very effective and simple.
MSC 2000:
*65L05 Initial value problems for ODE (numerical methods)
34A34 Nonlinear ODE and systems, general

Keywords: Adomian decomposition method; comparison of methods; numerical examples

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