Acta mathematica scientia, Series B >
CONVERGENCE ANALYSIS OF THE JACOBI SPECTRAL-COLLOCATION METHOD FOR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
Received date: 2012-10-04
Revised date: 2013-04-12
Online published: 2014-05-20
Supported by
The work was supported by NSFC Project (11301446, 11271145), China Postdoctoral Science Foundation Grant (2013M531789), Specialized Research Fund for the Doctoral Program of Higher Education (2011440711009), Program for Changjiang Scholars and Innovative Re-search Team in University (IRT1179), Project of Scientific Research Fund of Hunan Provincial Science and Technology Department (2013RS4057), and the Research Foundation of Hunan Provincial Education Depart-ment (13B116).
We propose and analyze a spectral Jacobi-collocation approximation for frac-tional order integro-differential equations of Volterra type. The fractional derivative is de-scribed 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 L∞ norm and weighted L2-norm. The numerical examples are given to illustrate the theoretical results.
YANG Yin , CHEN Yan-Ping , HUANG Yun-Qing . CONVERGENCE ANALYSIS OF THE JACOBI SPECTRAL-COLLOCATION METHOD FOR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia, Series B, 2014 , 34(3) : 673 -690 . DOI: 10.1016/S0252-9602(14)60039-4
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