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Zbl 1221.65196
Bataineh, A.Sami; Noorani, M.S.M.; Hashim, I.
Modified homotopy analysis method for solving systems of second-order Bvps. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 14, No. 2, 430-442 (2009). ISSN 1007-5704

Summary: A new modification of the homotopy analysis method (HAM) is presented for solving systems of second-order boundary-value problems (BVPs). The main advantage of the modified HAM (MHAM) is that one can avoid the uncontrollability problems of the nonzero endpoint conditions encountered in the standard HAM. Numerical comparisons show that the MHAM is more efficient than the standard HAM.
MSC 2000:
*65L99 Numerical methods for ODE

Keywords: boundary-value problems; homotopy analysis method; modified homotopy analysis method

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