Research Article Direct Solution of nth-Order IVPs by Homotopy Analysis Method

• Main Authors: A. Sami Bataineh, M. S. M. Noorani, I. Hashim
• Other Authors: The Pennsylvania State University CiteSeerX Archives
• Format: Text
• Language: English
• Published: 2009
• Subjects: sami
• Online Access: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.602.9135; http://www.emis.de/journals/HOA/DENM/Volume2009/842094.pdf

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. Copyright q 2009 A. Sami Bataineh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1.