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Jacobi spectral Galerkin methods for fractional integro-differential equations (2014)

Springer

In: CALCOLO

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Publication Date: 2014-11-21

Description: We propose general spectral and pseudo-spectral Jacobi–Galerkin methods for fractional order integro-differential equations of Volterra type. The fractional derivative is described in the Caputo sense. We provide rigorous error analysis for spectral and pseudo-spectral Jacobi–Galerkin methods, which show that the errors of the approximate solution decay exponentially in \(L^\infty \) norm and weighted \(L^2\) -norm. The numerical examples are given to illustrate the theoretical results.

Print ISSN: 0008-0624

Electronic ISSN: 1126-5434

Topics: Mathematics

Published by Springer

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