Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 14, Issue 2, Pages 430-442Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2007.09.012
Keywords
Boundary-value problems; Homotopy analysis method; Modified homotopy analysis method
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Funding
- MOSTI Science [04-01-02-SF0177]
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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. (c) 2007 Published by Elsevier B.V.
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