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Information Journal Paper

Title

CONVERGENCE ANALYSIS OF SPECTRAL TAU METHOD FOR FRACTIONAL RICCATI DIFFERENTIAL EQUATIONS

Pages

  1275-1290

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 L2-norm. Numerical results are presented to confirm the high accuracy of the method.

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  • Cite

    APA: Copy

    MOKHTARY, PAYAM, & GHOREISHI, FARIDEH. (2014). CONVERGENCE ANALYSIS OF SPECTRAL TAU METHOD FOR FRACTIONAL RICCATI DIFFERENTIAL EQUATIONS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 40(5), 1275-1290. SID. https://sid.ir/paper/634846/en

    Vancouver: Copy

    MOKHTARY PAYAM, GHOREISHI FARIDEH. CONVERGENCE ANALYSIS OF SPECTRAL TAU METHOD FOR FRACTIONAL RICCATI DIFFERENTIAL EQUATIONS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2014;40(5):1275-1290. Available from: https://sid.ir/paper/634846/en

    IEEE: Copy

    PAYAM MOKHTARY, and FARIDEH GHOREISHI, “CONVERGENCE ANALYSIS OF SPECTRAL TAU METHOD FOR FRACTIONAL RICCATI DIFFERENTIAL EQUATIONS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 40, no. 5, pp. 1275–1290, 2014, [Online]. Available: https://sid.ir/paper/634846/en

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