Direct Solution ofnth-Order IVPs by Homotopy Analysis Method-Reference-Cited by-同舟云学术

Direct Solution ofnth-Order IVPs by Homotopy Analysis Method

Published:2009 Issue: Volume:2009 Page:1-15
ISSN:1687-4099
Container-title:Differential Equations and Nonlinear Mechanics
language:en
Short-container-title:Differential Equations and Nonlinear Mechanics

Author:

Bataineh A. Sami¹,Noorani M. S. M.²,Hashim I.²

Affiliation:

1. Department of Mathematics, Irbid National University, Irbid 2600, Jordan

2. Centre for Modelling and Data Analysis, School of Mathematical Sciences, Universiti Kebangsaan Malaysia (National University of Malaysia), 43600 Bangi Selangor, Malaysia

Abstract

Direct solution of a class ofnth-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).

Funder

Ministry of Science, Technology and Innovation of Malaysia

Publisher

Hindawi Limited

Subject

Applied Mathematics,Mechanics of Materials,Analysis

Link

http://downloads.hindawi.com/journals/ijde/2009/842094.pdf

Reference32 articles.

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3. A kind of approximate solution technique which does not depend upon small parameters — II. An application in fluid mechanics