Title :
Solving Fractional Riccati Differential Equations Using Haar Wavelet
Author :
Li, Yuan-lu ; Hu, Li
Author_Institution :
Coll. of Inf. & Control, Nanjing Univ of Informat Sci & Technol, Nanjing, China
Abstract :
Using the Haar wavelets to expand the input signal and the output signal, then using the generalized Haar wavelet operational matrix of integration, we present a method to solve numerically the fractional Riccati differential equations. The results of the comparison with other methods indicate that the proposed method is simple and feasible.
Keywords :
Haar transforms; Riccati equations; differential equations; matrix algebra; wavelet transforms; Haar wavelet operational integration matrix; fractional Riccati differential equations; numerical method; Damping; Differential equations; Educational institutions; Fractional calculus; Integral equations; Matrix decomposition; Perturbation methods; Rheology; Riccati equations; Software; Haar wavelet; fractional Riccati differential equation; fractional integration; operational matrix;
Conference_Titel :
Information and Computing (ICIC), 2010 Third International Conference on
Conference_Location :
Wuxi, Jiang Su
Print_ISBN :
978-1-4244-7081-5
Electronic_ISBN :
978-1-4244-7082-2
DOI :
10.1109/ICIC.2010.86
