Spectral-collocation Method for Fractional Fredholm Integro-differential Equations

نویسندگان

  • Yin Yang
  • Yanping Chen
  • Yunqing Huang
  • Y. HUANG
چکیده

We propose and analyze a spectral Jacobi-collocation approximation for fractional order integro-differential equations of FredholmVolterra type. The fractional derivative is described in the Caputo sense. We provide a rigorous error analysis for the collection method, which shows that the errors of the approximate solution decay exponentially in L∞ norm and weighted L2-norm. The numerical examples are given to illustrate the theoretical results.

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تاریخ انتشار 2013