Spectral-Collocation Methods for Fractional Pantograph Delay-Integrodifferential Equations

Yin Yang and Yunqing Huang

Advances in Mathematical Physics, 2013, vol. 2013, 1-14

Abstract:

We propose and analyze a spectral Jacobi-collocation approximation for fractional order integrodifferential equations of Volterra type with pantograph delay. The fractional derivative is described in the Caputo sense. We provide a rigorous error analysis for the collocation method, which shows that the error of approximate solution decays exponentially in norm and weighted -norm. The numerical examples are given to illustrate the theoretical results.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:821327

DOI: 10.1155/2013/821327

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