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 A Finite Difference Method for Boundary Value Problems of a Caputo Fractional Differential Equation Lyu P.1; Vong S.1; Wang Z.2 2017 Source Publication East Asian Journal on Applied Mathematics ISSN 20797370 20797362 Volume 7Issue:4Pages:752-766 Abstract In this paper, we consider a two-point boundary value problem with Caputo fractional derivative, where the second order derivative of the exact solution is unbounded. Based on the equivalent form of the main equation, a finite difference scheme is derived. The L convergence of the difference system is discussed rigorously. The convergence rate in general improves previous results. Numerical examples are provided to demonstrate the theoretical results. Keyword Boundary Value Problem Caputo Fractional Derivative Convergence Derivative Bound Finite Difference Method DOI 10.4208/eajam.181016.300517e URL View the original Indexed By SCIE Language 英語English WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000423848400009 Fulltext Access Citation statistics Cited Times [WOS]:6   [WOS Record]     [Related Records in WOS] Document Type Journal article Collection DEPARTMENT OF MATHEMATICS Affiliation 1.Universidade de Macau2.Guangdong University of Technology First Author Affilication University of Macau Recommended CitationGB/T 7714 Lyu P.,Vong S.,Wang Z.. A Finite Difference Method for Boundary Value Problems of a Caputo Fractional Differential Equation[J]. East Asian Journal on Applied Mathematics,2017,7(4):752-766. APA Lyu P.,Vong S.,&Wang Z..(2017).A Finite Difference Method for Boundary Value Problems of a Caputo Fractional Differential Equation.East Asian Journal on Applied Mathematics,7(4),752-766. MLA Lyu P.,et al."A Finite Difference Method for Boundary Value Problems of a Caputo Fractional Differential Equation".East Asian Journal on Applied Mathematics 7.4(2017):752-766.
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