Staff Members - Benha University
Modified Homotopy Analysis Method for Second order nonlinear initial value problems
International Journal of Applied Mathematics and Mechanics • 2011
Publication Information
Authors
Hany N. Hassan; Magdy A. El-Tawil
Keywords
Second order nonlinear initial value problems, Homotopy analysis method,
Modified homotopy analysis method, Boussinesq type equations
Journal
International Journal of Applied Mathematics and Mechanics
Publisher
Not Available
Volume
7
Issue
18
Pages
82-108
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
In this paper, a new modification of the homotopy analysis method is proposed for solving a
special kind of nonlinear differential equations. This modification improves the convergence
of the series solution, eliminates the unneeded terms and reduces time consuming in the
homotopy analysis method (HAM). Boussinesq type equations are used as test problems to
show the simplicity and effectiveness of the method.
special kind of nonlinear differential equations. This modification improves the convergence
of the series solution, eliminates the unneeded terms and reduces time consuming in the
homotopy analysis method (HAM). Boussinesq type equations are used as test problems to
show the simplicity and effectiveness of the method.