![](/images/graphics-bg.png)
Numerical Solution of Riccati Equations by the Adomian and Asymptotic Decomposition Methods over Extended Domains
Joint Authors
Source
International Journal of Differential Equations
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-20
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We combine the Adomian decomposition method (ADM) and Adomian’s asymptotic decomposition method (AADM) for solving Riccati equations.
We investigate the approximate global solution by matching the near-field approximation derived from the Adomian decomposition method with the far-field approximation derived from Adomian’s asymptotic decomposition method for Riccati equations and in such cases when we do not find any region of overlap between the obtained approximate solutions by the two proposed methods, we connect the two approximations by the Padé approximant of the near-field approximation.
We illustrate the efficiency of the technique for several specific examples of the Riccati equation for which the exact solution is known in advance.
American Psychological Association (APA)
Biazar, Jafar& Didgar, Mohsen. 2015. Numerical Solution of Riccati Equations by the Adomian and Asymptotic Decomposition Methods over Extended Domains. International Journal of Differential Equations،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1065513
Modern Language Association (MLA)
Biazar, Jafar& Didgar, Mohsen. Numerical Solution of Riccati Equations by the Adomian and Asymptotic Decomposition Methods over Extended Domains. International Journal of Differential Equations No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1065513
American Medical Association (AMA)
Biazar, Jafar& Didgar, Mohsen. Numerical Solution of Riccati Equations by the Adomian and Asymptotic Decomposition Methods over Extended Domains. International Journal of Differential Equations. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1065513
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1065513