Direct Solution of -Order IVPs by Homotopy Analysis Method

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

International Journal of Differential Equations, 2009, vol. 2009, 1-15

Abstract:

Direct solution of a class of -order initial value problems (IVPs) is considered based on the homotopy analysis method (HAM). The HAM solutions contain an auxiliary parameter which provides a convenient way of controlling the convergence region of the series solutions. The HAM gives approximate analytical solutions which are of comparable accuracy to the seven- and eight-order Runge-Kutta method (RK78).

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:842094

DOI: 10.1155/2009/842094

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