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

✍ Scribed by A. Sami Bataineh; M.S.M. Noorani; I. Hashim

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
233 KB
Volume
14
Category
Article
ISSN
1007-5704

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✦ Synopsis

In this paper, a new modification of the homotopy analysis method (HAM) is presented for solving systems of secondorder 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.

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