On linear stability of predictor-corrector algorithms for fractional differential equations

被引：176
|
作者：
Garrappa, Roberto [1 ]
机构：
[1] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2010年 / 87卷 / 10期
关键词：
fractional differential equation; predictor-corrector; product integration rule; stability; VOLTERRA INTEGRAL-EQUATIONS; FAST NUMERICAL-SOLUTION;
D O I：
10.1080/00207160802624331
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the numerical approximation of differential equations of fractional order by means of predictor-corrector algorithms. A linear stability analysis is performed and the stability regions of different methods are compared. Furthermore the effects on stability of multiple corrector iterations are verified.
引用
收藏
页码：2281 / 2290
页数：10
相关论文
共 50 条
  • [1] A new predictor-corrector method for fractional differential equations
    Daftardar-Gejji, Varsha
    Sukale, Yogita
    Bhalekar, Sachin
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 244 : 158 - 182
  • [2] Fast predictor-corrector approach for the tempered fractional differential equations
    Jingwei Deng
    Lijing Zhao
    Yujiang Wu
    Numerical Algorithms, 2017, 74 : 717 - 754
  • [3] A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations
    Kai Diethelm
    Neville J. Ford
    Alan D. Freed
    Nonlinear Dynamics, 2002, 29 : 3 - 22
  • [4] A predictor-corrector approach for the numerical solution of fractional differential equations
    Diethelm, K
    Ford, NJ
    Freed, AD
    NONLINEAR DYNAMICS, 2002, 29 (1-4) : 3 - 22
  • [5] Fast predictor-corrector approach for the tempered fractional differential equations
    Deng, Jingwei
    Zhao, Lijing
    Wu, Yujiang
    NUMERICAL ALGORITHMS, 2017, 74 (03) : 717 - 754
  • [6] NEW PREDICTOR-CORRECTOR APPROACH FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS: ERROR ANALYSIS AND STABILITY
    Asl, Mohammad Shahbazi
    Javidi, Mohammad
    Ahmad, Bashir
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (04): : 1527 - 1557
  • [7] STABILITY PROPERTIES OF PREDICTOR-CORRECTOR METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS
    CHASE, PE
    JOURNAL OF THE ACM, 1962, 9 (04) : 457 - &
  • [8] A new predictor-corrector method for the numerical solution of fractional differential equations
    Yu, Jimin
    Wang, Chen
    Wu, Weihong
    Huang, Xiaofei
    Luo, Rong
    PROCEEDINGS OF THE 2015 3RD INTERNATIONAL CONFERENCE ON MACHINERY, MATERIALS AND INFORMATION TECHNOLOGY APPLICATIONS, 2015, 35 : 1638 - 1641
  • [9] A new family of predictor-corrector methods for solving fractional differential equations
    Kumar, Manoj
    Daftardar-Gejji, Varsha
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 363
  • [10] Short memory principle and a predictor-corrector approach for fractional differential equations
    Deng, Weihua
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 206 (01) : 174 - 188
12345