CONVERGENCE ANALYSIS OF THE JACOBI SPECTRAL-COLLOCATION METHOD FOR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS  

作　　者：杨银 陈艳萍 黄云清 

机构地区：[1]Hunan Key Laboratory for Computation and Simulation in Science and Engineering,Xiangtan University [2]School of Mathematical Sciences,South China Normal University

出　　处：《Acta Mathematica Scientia》2014年第3期673-690,共18页数学物理学报（B辑英文版）

基　　金：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 Research Team in University(IRT1179);Project of Scientific Research Fund of Hunan Provincial Science and Technology Department(2013RS4057);the Research Foundation of Hunan Provincial Education Department(13B116)

摘　　要：We propose and analyze a spectral Jacobi-collocation approximation for fractional order integro-differential equations of Volterra type. The fractional derivative is described 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 L^2-norm. The numerical examples are given to illustrate the theoretical results.We propose and analyze a spectral Jacobi-collocation approximation for fractional order integro-differential equations of Volterra type. The fractional derivative is described 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 L^2-norm. The numerical examples are given to illustrate the theoretical results.

关 键 词：Spectral Jacobi-collocation method fractional order integro-differential equations Caputo derivative 

分 类 号：O175.6[理学—数学]