Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2013, Special Issue (2013), Article ID 139530, 6 pages.
A Spectral Deferred Correction Method for Fractional Differential Equations
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.
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 139530, 6 pages.
First available in Project Euclid: 26 February 2014
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Xin, Jia; Huang, Jianfei; Zhao, Weijia; Zhu, Jiang. A Spectral Deferred Correction Method for Fractional Differential Equations. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 139530, 6 pages. doi:10.1155/2013/139530. https://projecteuclid.org/euclid.aaa/1393450393