Staff Members - Benha University
The Homotopy Analysis Method for Strongly Nonlinear Initial / Boundary Value Problems
International Journal of Modern Mathematical Sciences • 2014
Publication Information
Authors
M.S. Semary, H.N. Hassan
Keywords
Not Available
Journal
International Journal of Modern Mathematical Sciences
Publisher
Not Available
Volume
9
Issue
3
Pages
154-172
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
It is the purpose of the present paper to introduce an approach based on the
homotopy analysis method to solve the nonlinear initial or boundary value problems with
strongly nonlinear terms like (sqrt root, exp, sinh, cos,…). This approach reduces time
consuming in the homotopy analysis method. Advantage of proposed idea is solving the
problems without any transformation or approximation. The Sine-Gordon equation and some
examples are used as illustrative examples to show the simplicity and effectiveness of
homotopy analysis method to solve the nonlinear initial or boundary value problems with
strongly nonlinear terms like (sqrt root, exp, sinh, cos,…). This approach reduces time
consuming in the homotopy analysis method. Advantage of proposed idea is solving the
problems without any transformation or approximation. The Sine-Gordon equation and some
examples are used as illustrative examples to show the simplicity and effectiveness of