Optimal Error Estimates of Spectral Petrov-Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations

نویسندگان

  • Zhongqiang Zhang
  • Fanhai Zeng
  • George E. Karniadakis
چکیده

We present optimal error estimates for spectral Petrov–Galerkin methods and spectral collocation methods for linear fractional ordinary differential equations with initial value on a finite interval. We also develop Laguerre spectral Petrov–Galerkin methods and collocation methods for fractional equations on the half line. Numerical results confirm the error estimates.

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عنوان ژورنال:
  • SIAM J. Numerical Analysis

دوره 53  شماره 

صفحات  -

تاریخ انتشار 2015