@article { author = {Mokhtary, P. and Ghoreishi, F.}, title = {Convergence analysis of spectral Tau method for fractional Riccati differential equations}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {5}, pages = {1275-1290}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎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.}, keywords = {Fractional Riccati differential equations‎,‎Caputo derivative‎,‎spectral Tau method‎}, url = {http://bims.iranjournals.ir/article_565.html}, eprint = {http://bims.iranjournals.ir/article_565_640b209b5b3935e605fe16785504abcc.pdf} }