Modified homotopy analysis method for solving systems of second-order BVPs

Modified homotopy analysis method for solving systems of second-order BVPs

In this paper, 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 i...

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Veröffentlicht in:Communications in nonlinear science & numerical simulation 2009-02, Vol.14 (2), p.430-442
Hauptverfasser: Bataineh, A. Sami, Noorani, M.S.M., Hashim, I.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Computer simulation
Ham
Homotopy analysis method
Mathematical analysis
Mathematical models
Modified homotopy analysis method
Nonlinearity
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Beschreibung
Zusammenfassung:In this paper, 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.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2007.09.012