A Spectral Deferred Correction Method for Fractional Differential Equations
Joint Authors
Zhao, Weijia
Huang, Jianfei
Zhu, Jiang
Xin, Jia
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-22
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Xin, Jia& Huang, Jianfei& Zhao, Weijia& Zhu, Jiang. 2013. A Spectral Deferred Correction Method for Fractional Differential Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-448872
Modern Language Association (MLA)
Xin, Jia…[et al.]. A Spectral Deferred Correction Method for Fractional Differential Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-448872
American Medical Association (AMA)
Xin, Jia& Huang, Jianfei& Zhao, Weijia& Zhu, Jiang. A Spectral Deferred Correction Method for Fractional Differential Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-448872
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-448872