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Reseach Article
An Effective Perturbation Iteration Algorithm for Solving Riccati Differential Equations
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 111 - Number 10 |
| Year of Publication: 2015 |
| Authors: M. Khalid, Mariam Sultana, Faheem Zaidi, Uroosa Arshad |
10.5120/19571-1361
|
M. Khalid, Mariam Sultana, Faheem Zaidi, Uroosa Arshad . An Effective Perturbation Iteration Algorithm for Solving Riccati Differential Equations. International Journal of Computer Applications. 111, 10 ( February 2015), 1-5. DOI=10.5120/19571-1361
Abstract
In the following study, a novel approach called the Perturbation Iteration Algorithm PIA has been proposed and subsequently adopted for deriving and solving the Riccati differential equation. This new Perturbation Iteration Method is efficient and has no requirement of a small parameter assumption as its earlier classical counterparts do. Some examples have been presented to exhibit how simply and efficiently the proposed method works. After deriving the exact solution of the Riccati equation, the capability and the simplicity of the proposed technique is clarified. A percentage error for each example has also been presented.
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