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标题：Direct Solution of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>n</mml:mi><mml:mtext>th</mml:mtext></mml:math>-Order IVPs by Homotopy Analysis Method
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作者：A. Sami Bataineh ; M. S. M. Noorani ; I. Hashim 等
期刊名称：International Journal of Differential Equations
印刷版ISSN：1687-9643
电子版ISSN：1687-9651
出版年度：2009
卷号：2009
DOI：10.1155/2009/842094
出版社：Hindawi Publishing Corporation
摘要：Direct solution of a class of nth-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).