In this paper, a spectral Tau method for solving fractional Riccati
differential equations is considered. This technique describes
converting of a given fractional Riccati differential equation to a
system of nonlinear algebraic equations by using some simple
matrices. We use fractional derivatives in the Caputo form.
Convergence analysis of the proposed method is given and rate of
convergence is established in the weighted $L^2-$norm. Numerical
results are presented to confirm the high accuracy of the
method.
Mokhtary, P., & Ghoreishi, F. (2014). Convergence analysis of spectral Tau method for fractional Riccati differential equations. Bulletin of the Iranian Mathematical Society, 40(5), 1275-1290.
MLA
Mokhtary, P., & Ghoreishi, F. "Convergence analysis of spectral Tau method for fractional Riccati differential equations", Bulletin of the Iranian Mathematical Society, 40, 5, 2014, 1275-1290.
HARVARD
Mokhtary P., Ghoreishi F. (2014). 'Convergence analysis of spectral Tau method for fractional Riccati differential equations', Bulletin of the Iranian Mathematical Society, 40(5), pp. 1275-1290.
CHICAGO
P. Mokhtary & F. Ghoreishi, "Convergence analysis of spectral Tau method for fractional Riccati differential equations," Bulletin of the Iranian Mathematical Society, 40 5 (2014): 1275-1290,
VANCOUVER
Mokhtary P., Ghoreishi F. Convergence analysis of spectral Tau method for fractional Riccati differential equations. BIMS. 2014;40(5):1275-1290.
