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2013 A Spectral Deferred Correction Method for Fractional Differential Equations
Jia Xin, Jianfei Huang, Weijia Zhao, Jiang Zhu
Abstr. Appl. Anal. 2013(SI05): 1-6 (2013). DOI: 10.1155/2013/139530

Abstract

A spectral deferred correction method is presented for the initial value problems of fractional differential equations (FDEs) with Caputo derivative. This method is constructed based on the residual function and the error equation deduced from Volterra integral equations equivalent to the FDEs. The proposed method allows that one can use a relatively few nodes to obtain the high accuracy numerical solutions of FDEs without the penalty of a huge computational cost due to the nonlocality of Caputo derivative. Finally, preliminary numerical experiments are given to verify the efficiency and accuracy of this method.

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Jia Xin. Jianfei Huang. Weijia Zhao. Jiang Zhu. "A Spectral Deferred Correction Method for Fractional Differential Equations." Abstr. Appl. Anal. 2013 (SI05) 1 - 6, 2013. https://doi.org/10.1155/2013/139530

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1297.65080
MathSciNet: MR3121412
Digital Object Identifier: 10.1155/2013/139530

Rights: Copyright © 2013 Hindawi

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