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Zbl 1089.65072
Abbasbandy, S.
Iterated He's homotopy perturbation method for quadratic Riccati differential equation. (English)
[J] Appl. Math. Comput. 175, No. 1, 581-589 (2006). ISSN 0096-3003

Summary: The iterated homotopy perturbation method of {\it J. He} [Int. J. Non-Linear Mech. 35, No.~1, 37--43 (2000; Zbl 1068.74618)] is proposed to solving a quadratic Riccati differential equation. Comparisons are made between Adomian's decomposition method, the exact solution, and the proposed method. The results reveal that the method is very effective and simple.

MSC 2000:: *65L10 Boundary value problems for ODE (numerical methods)
34B15 Nonlinear boundary value problems of ODE

Keywords: homotopy perturbation method; Adomian decomposition method; comparison of methods; numerical examples; quadratic Riccati differential equation

Citations: Zbl 1068.74618

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