Direct Solution of nth-Order IVPs by Homotopy Analysis Method

• Published in: Differential Equations and Nonlinear Mechanics Vol. 2009; no. 2009; pp. 48 - 62
• Main Authors: Bataineh, A. Sami, Noorani, Mohd. Salmi Md, Hashim, Ishak
• Format: Journal Article
• Language: English
• Published: Cairo, Egypt Hindawi Limiteds 01.01.2009; Hindawi Puplishing Corporation; Hindawi Publishing Corporation; Hindawi Limited
• Subjects: Algorithms; Mathematical models; Methods; Numerical analysis; Ordinary differential equations; Studies

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 a...