Staff Members - Benha University
A new technique of using homotopy analysis method for solving high-order nonlinear differential equations
Mathematical Methods in the Applied Sciences • 2011
Publication Information
Authors
Hany N. Hassan and Magdy A. El-Tawil
Keywords
nonlinear initial value problems; homotopy analysis method; modified HAM; system of differential equations
Journal
Mathematical Methods in the Applied Sciences
Publisher
ohn Wiley & Sons, Ltd.
Volume
34
Issue
Not Available
Pages
728–742
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
n this paper, a new technique of homotopy analysis method (HAM) is proposed for solving high-order nonlinear
initial value problems. This method improves the convergence of the series solution, eliminates the unneeded terms
and reduces time consuming in the standard homotopy analysis method (HAM) by transform the nth-order nonlinear
differential equation to a system of n first-order equations. Second- and third- order problems are solved as illustration
examples of the proposed method.
initial value problems. This method improves the convergence of the series solution, eliminates the unneeded terms
and reduces time consuming in the standard homotopy analysis method (HAM) by transform the nth-order nonlinear
differential equation to a system of n first-order equations. Second- and third- order problems are solved as illustration
examples of the proposed method.