SPECTRAL-COLLOCATION METHOD FOR FRACTIONAL FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

- Journal title : Journal of the Korean Mathematical Society
- Volume 51, Issue 1, 2014, pp.203-224
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2014.51.1.203

Title & Authors

SPECTRAL-COLLOCATION METHOD FOR FRACTIONAL FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

Yang, Yin; Chen, Yanping; Huang, Yunqing;

Yang, Yin; Chen, Yanping; Huang, Yunqing;

Abstract

We propose and analyze a spectral Jacobi-collocation approximation for fractional order integro-differential equations of Fredholm-Volterra 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 norm and weighted -norm. The numerical examples are given to illustrate the theoretical results.

Keywords

spectral Jacobi-collocation method;fractional order Fredholm integro-differential equations;Caputo derivative;

Language

English

Cited by

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