Generalized Adams method for solving fractional delay differential equations

被引：7
|
作者：
Zhao, Jingjun [1 ]
Jiang, Xingzhou [1 ]
Xu, Yang [1 ]
机构：
[1] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2021年 / 180卷
基金：
中国国家自然科学基金;
关键词：
Fractional delay differential equation; Generalized Adams method; Convergence; Stability; CONVOLUTION QUADRATURE; STABILITY ANALYSIS;
D O I：
10.1016/j.matcom.2020.09.006
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Based on fractional generalized Adams methods, a numerical method is constructed for solving fractional delay differential equations. The convergence of the method is analyzed in detail. The stability of the fractional generalized Adams methods for fractional ordinary differential equations is generalized to a general framework. Under such framework, the linear stability of the method is studied for fractional delay differential equations. Numerical experiments confirm the convergence and the stability of the method. (C) 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：401 / 419
页数：19
相关论文
共 50 条
  • [1] An Approximate Method for Solving Fractional Delay Differential Equations
    Pandey R.K.
    Kumar N.
    Mohaptra R.N.
    International Journal of Applied and Computational Mathematics, 2017, 3 (2) : 1395 - 1405
  • [2] Solving fuzzy fractional differential equations by a generalized differential transform method
    Rivaz A.
    Fard O.S.
    Bidgoli T.A.
    SeMA Journal, 2016, 73 (2) : 149 - 170
  • [3] An Adaptive Collocation Method for Solving Delay Fractional Differential Equations
    Mahmoudi M.
    Ghovatmand M.
    Jafari H.
    International Journal of Applied and Computational Mathematics, 2019, 5 (6)
  • [4] A new numerical method for solving fractional delay differential equations
    Aman Jhinga
    Varsha Daftardar-Gejji
    Computational and Applied Mathematics, 2019, 38
  • [5] A new numerical method for solving fractional delay differential equations
    Jhinga, Aman
    Daftardar-Gejji, Varsha
    COMPUTATIONAL & APPLIED MATHEMATICS, 2019, 38 (04):
  • [6] AN ALTERNATIVE METHOD FOR SOLVING GENERALIZED DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
    Chouhan, Amit
    Purohit, Sunil Dutt
    Saraswat, Satish
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2013, 37 (02): : 299 - 306
  • [7] A generalized Gegenbauer wavelet collocation method for solving p-type fractional neutral delay differential and delay partial differential equations
    Mo Faheem
    Arshad Khan
    Ömer Oruç
    Mathematical Sciences, 2024, 18 : 137 - 166
  • [8] A generalized Gegenbauer wavelet collocation method for solving p-type fractional neutral delay differential and delay partial differential equations
    Faheem, Mo
    Khan, Arshad
    Oruc, Omer
    MATHEMATICAL SCIENCES, 2024, 18 (02) : 137 - 166
  • [9] Generalized Adams Methods for Fractional Differential Equations.
    Aceto, Lidia
    Magherini, Cecilia
    Novati, Paolo
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, 2012, 1479 : 250 - 253
  • [10] Adams method for solving uncertain differential equations
    Yang, Xiangfeng
    Ralescu, Dan A.
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 270 : 993 - 1003
12345