Approximate solution of multi-term fractional differential equations via a block-by-block method

被引：1
|
作者：
Katani, Roghayeh [1 ]
Shahmorad, Sedaghat [2 ]
Conte, Dajana [3 ]
机构：
[1] Univ Yasuj, Dept Sci, Yasuj, Iran
[2] Univ Tabriz, Dept Appl Math, Tabriz, East Azarbaijan, Iran
[3] Univ Salerno, Dept Math, Salerno, Italy
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2025年 / 453卷
关键词：
Multi-term fractional differential equations; Weakly singular integral equations; Block-by-block method; Bagley-Torvik equation; VOLTERRA INTEGRAL-EQUATIONS; COLLOCATION METHODS; ROMBERG QUADRATURE; NUMERICAL-SOLUTION; SYSTEM;
D O I：
10.1016/j.cam.2024.116135
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we introduce a block-by-block method for the numerical solution of multi-term fractional differential equations (MFDEs). The main idea is to convert a MFDE to a Volterra integral equation of weakly singular type, to which a well known block-by-block method is applied. We also provide the error analysis and convergence of the method. Finally, numerical examples involving Bagley-Torvik and relaxation-oscillation equations are given to confirm applications and the theoretical results.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] A BLOCK-BY-BLOCK METHOD FOR THE IMPULSIVE FRACTIONAL ORDINARY DIFFERENTIAL EQUATIONS
    Cao, Junying
    Chen, Lizhen
    Wang, Ziqiang
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (03): : 853 - 874
  • [2] A block-by-block approach for nonlinear fractional integro-differential equations
    Afiatdoust, F.
    Heydari, M. H.
    Hosseini, M. M.
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2023, 100 (11) : 2140 - 2155
  • [3] Convergence Analysis of a Block-by-Block Method for Fractional Differential Equations
    Huang, Jianfei
    Tang, Yifa
    Vazquez, Luis
    NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2012, 5 (02) : 229 - 241
  • [4] A block-by-block method for nonlinear variable-order fractional quadratic integral equations
    Afiatdoust, F.
    Heydari, M. H.
    Hosseini, M. M.
    COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (01)
  • [5] A block-by-block strategy for fractional systems of nonlinear weakly singular integro-differential equations
    Afiatdoust, F.
    Heydari, M. H.
    Hosseini, M. M.
    COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (06)
  • [6] BLOCK-BY-BLOCK TECHNIQUE FOR A CLASS OF NONLINEAR SYSTEMS OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
    Afiatdoust, F.
    Heydari, M. H.
    Hosseini, M. M.
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (01): : 214 - 234
  • [7] Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations
    Ford, Neville J.
    Connolly, Joseph A.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 229 (02) : 382 - 391
  • [8] Numerical solution of multi-term fractional differential equations
    Katsikadelis, John T.
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2009, 89 (07): : 593 - 608
  • [9] Fourth kind Chebyshev Wavelet Method for the solution of multi-term variable order fractional differential equations
    Dincel, Arzu Turan
    Polat, Sadiye Nergis Tural
    ENGINEERING COMPUTATIONS, 2022, 39 (04) : 1274 - 1287
  • [10] Multi-term fractional differential equations, multi-order fractional differential systems and their numerical solution
    GNS Gesellschaft für numerische Simulation mbH, Am Gauberg 2, 38114 Braunschweig, Germany
    不详
    J. Eur. Syst. Autom., 2008, 6-8 (665-676): : 665 - 676
12345