![](/images/graphics-bg.png)
A New Method for Riccati Differential Equations Based on Reproducing Kernel and Quasilinearization Methods
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-13
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We introduce a new method for solving Riccati differential equations, which is based on reproducing kernel method and quasilinearization technique.
The quasilinearization technique is used to reduce the Riccati differential equation to a sequence of linear problems.
The resulting sets of differential equations are treated by using reproducing kernel method.
The solutions of Riccati differential equations obtained using many existing methods give good approximations only in the neighborhood of the initial position.
However, the solutions obtained using the present method give good approximations in a larger interval, rather than a local vicinity of the initial position.
Numerical results compared with other methods show that the method is simple and effective.
American Psychological Association (APA)
Geng, F. Z.& Li, Xiuming. 2012. A New Method for Riccati Differential Equations Based on Reproducing Kernel and Quasilinearization Methods. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-484326
Modern Language Association (MLA)
Geng, F. Z.& Li, Xiuming. A New Method for Riccati Differential Equations Based on Reproducing Kernel and Quasilinearization Methods. Abstract and Applied Analysis No. 2012 (2012), pp.1-8.
https://search.emarefa.net/detail/BIM-484326
American Medical Association (AMA)
Geng, F. Z.& Li, Xiuming. A New Method for Riccati Differential Equations Based on Reproducing Kernel and Quasilinearization Methods. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-484326
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484326