Convergence Analysis of Spectral Tau Method for Fractional Riccati Differential Equations
نویسندگان
چکیده
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−norm. Numerical results are presented to confirm the high accuracy of the method.
منابع مشابه
Convergence analysis of spectral Tau method for fractional Riccati differential equations
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 an...
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