![](/images/graphics-bg.png)
A new approach for a class of nonlinear boundary value problems with multiple solutions
Joint Authors
Samari, Murad S.
Hasan, Hani N.
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 17, Issue 0 (30 Apr. 2015), pp.27-35, 9 p.
Publisher
University of Bahrain College of Science
Publication Date
2015-04-30
Country of Publication
Bahrain
No. of Pages
9
Main Subjects
Abstract EN
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 Bratu’s problem, the model of mixed convection flows in a vertical channel, the nonlinear model of diffusion and reaction in porous catalysts and the nonlinear reactive transport model.
American Psychological Association (APA)
Samari, Murad S.& Hasan, Hani N.. 2015. A new approach for a class of nonlinear boundary value problems with multiple solutions. Arab Journal of Basic and Applied Sciences،Vol. 17, no. 0, pp.27-35.
https://search.emarefa.net/detail/BIM-535261
Modern Language Association (MLA)
Samari, Murad S.& Hasan, Hani N.. A new approach for a class of nonlinear boundary value problems with multiple solutions. Arab Journal of Basic and Applied Sciences Vol. 17 (Apr. 2015), pp.27-35.
https://search.emarefa.net/detail/BIM-535261
American Medical Association (AMA)
Samari, Murad S.& Hasan, Hani N.. A new approach for a class of nonlinear boundary value problems with multiple solutions. Arab Journal of Basic and Applied Sciences. 2015. Vol. 17, no. 0, pp.27-35.
https://search.emarefa.net/detail/BIM-535261
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 34-35
Record ID
BIM-535261