Spectral‐Collocation Methods for Fractional Pantograph Delay‐Integrodifferential Equations

Yin Yang and Yunqing Huang

Advances in Mathematical Physics, 2013, vol. 2013, issue 1

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 L∞ norm and weighted L2‐norm. The numerical examples are given to illustrate the theoretical results.

Date: 2013
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https://doi.org/10.1155/2013/821327

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2013:y:2013:i:1:n:821327

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