Trapezoidal methods for fractional differential equations: Theoretical and computational aspects

被引：145
作者：
Garrappa, Roberto [1 ]
机构：
[1] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2015年 / 110卷
关键词：
Fractional differential equations; Multistep methods; Trapezoidal method; Stability; Computational aspects; VOLTERRA INTEGRAL-EQUATIONS; DIFFUSION-EQUATIONS; STABILITY ANALYSIS; NUMERICAL-SOLUTION; 2ND KIND; CALCULUS; ORDER; APPROXIMATIONS; COLLOCATION; ALGORITHMS;
D O I：
10.1016/j.matcom.2013.09.012
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The paper describes different approaches to generalize the trapezoidal method to fractional differential equations. We analyze the main theoretical properties and we discuss computational aspects to implement efficient algorithms. Numerical experiments are provided to illustrate potential and limitations of the different methods under investigation. (C) 2013 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：96 / 112
页数：17
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