Direct Solution of nth-Order IVPs by Homotopy Analysis Method. (2nd August 2009)

• Record Type: Journal Article
• Authors: Bataineh, A. Sami; Noorani, M. S. M.; Hashim, I.
• Other Names: Hayat Tasawar Academic Editor.
• Is Part Of: Differential equations and nonlinear mechanics. Volume 2009(2009)
• Publication Date: 2009-08-02
• Subjects: Differential equations, Nonlinear -- Periodicals; Nonlinear mechanics -- Periodicals; Équations différentielles non linéaires; Mécanique non linéaire; Differential equations, Nonlinear; Nonlinear mechanics; Chaos Theory; Differential Equations; Periodicals; Electronic journals; 515.35
• DOI: 10.1155/2009/842094
• Languages: English
• ISSNs: 1687-4099

Abstract

Abstract : Direct solution of a class ofn th -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).