A Review of Some Recent Results for the Approximate Analytical Solutions of Nonlinear Differential Equations
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-34, 34 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-07-07
Country of Publication
Egypt
No. of Pages
34
Main Subjects
Abstract EN
This paper features a survey of some recent developments in techniques for obtaining approximate analytical solutions of some nonlinear differential equations arising in various fields of science and engineering.
Adomian's decomposition method is applied to some nonlinear problems, and some mathematical tools such as He's homotopy perturbation method and variational iteration method are introduced to overcome the shortcomings of Adomian's method.
The results of some comparisons of these three methods appearing in the research literature are given.
American Psychological Association (APA)
Pamuk, Serdal. 2009. A Review of Some Recent Results for the Approximate Analytical Solutions of Nonlinear Differential Equations. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-34.
https://search.emarefa.net/detail/BIM-454069
Modern Language Association (MLA)
Pamuk, Serdal. A Review of Some Recent Results for the Approximate Analytical Solutions of Nonlinear Differential Equations. Mathematical Problems in Engineering No. 2009 (2009), pp.1-34.
https://search.emarefa.net/detail/BIM-454069
American Medical Association (AMA)
Pamuk, Serdal. A Review of Some Recent Results for the Approximate Analytical Solutions of Nonlinear Differential Equations. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-34.
https://search.emarefa.net/detail/BIM-454069
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454069