Rational Solutions of Riccati Differential Equation with Coefficients Rational
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-44, 44 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-18
Country of Publication
Egypt
No. of Pages
44
Main Subjects
Abstract EN
This paper presents a simple and efficient method for determining the rational solution of Riccati differential equation with coefficients rational.
In case the differential Galois group of the differential equation (El):y′′=ry, r∈ℂ(x) is reducible, we look for the rational solutions of Riccati differential equation θ′+θ2=r, by reducing the number of checks to be made and by accelerating the search for the partial fraction decomposition of the solution reserved for the poles of θ which are false poles of r.
This partial fraction decomposition of solution can be used to code r.
The examples demonstrate the effectiveness of the method.
American Psychological Association (APA)
Echi, Nadhem. 2011. Rational Solutions of Riccati Differential Equation with Coefficients Rational. ISRN Applied Mathematics،Vol. 2011, no. 2011, pp.1-44.
https://search.emarefa.net/detail/BIM-503429
Modern Language Association (MLA)
Echi, Nadhem. Rational Solutions of Riccati Differential Equation with Coefficients Rational. ISRN Applied Mathematics No. 2011 (2011), pp.1-44.
https://search.emarefa.net/detail/BIM-503429
American Medical Association (AMA)
Echi, Nadhem. Rational Solutions of Riccati Differential Equation with Coefficients Rational. ISRN Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-44.
https://search.emarefa.net/detail/BIM-503429
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503429