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Bataineh, A. Sami; Noorani, M. S. M.; Hashim, I.

Modified homotopy analysis method for solving systems of second-order BVPs. (English) Zbl 1221.65196

Commun. Nonlinear Sci. Numer. Simul. 14, No. 2, 430-442 (2009).
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.

Cited in 33 Documents

MSC:

65L99 Numerical methods for ordinary differential equations

Keywords:

boundary-value problems; homotopy analysis method; modified homotopy analysis method
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\textit{A. S. Bataineh} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 2, 430--442 (2009; Zbl 1221.65196)
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References:

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