Staff Members - Benha University
A new approach for a class of nonlinear boundary value problems with multiple solutions
Journal of the Association of Arab Universities for Basic and Applied Sciences • 2015
Publication Information
Authors
MS Semary, HN Hassan
Keywords
Not Available
Journal
Journal of the Association of Arab Universities for Basic and Applied Sciences
Publisher
Not Available
Volume
17
Issue
Not Available
Pages
27-35
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
In this paper, an approach based on the variational iteration method (VIM) is
proposed with an auxiliary parameter to predict the multiplicity of the solutions of
homogeneous nonlinear ordinary differential equations with boundary conditions. The
proposed approach is capable to predict and calculate all branches of the solutions
simultaneously. Four practical problems are chosen to show the efficiency and importance of
the proposed method. The proposed approach successfully detects multiple solutions to
proposed with an auxiliary parameter to predict the multiplicity of the solutions of
homogeneous nonlinear ordinary differential equations with boundary conditions. The
proposed approach is capable to predict and calculate all branches of the solutions
simultaneously. Four practical problems are chosen to show the efficiency and importance of
the proposed method. The proposed approach successfully detects multiple solutions to