Haar wavelet method for approximating the solution of a coupled system of fractional-order integral-differential equations

被引：16
|
作者：
Xie, Jiaquan [1 ]
Wang, Tao [1 ]
Ren, Zhongkai [1 ]
Zhang, Jun [2 ]
Quan, Long [1 ]
机构：
[1] Taiyuan Univ Technol, Coll Mech & Vehicle Engn, Taiyuan 030024, Shanxi, Peoples R China
[2] Taiyuan Univ Sci & Technol, Coll Mech Engn, Taiyuan 030024, Shanxi, Peoples R China
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2019年 / 163卷
基金：
国家自然科学基金重大项目;
关键词：
Haar wavelet; Numerical solutions; Convergence analysis; Operational matrix; Integral-differential equations; TRANSFORM METHOD; INTEGRODIFFERENTIAL EQUATIONS; COLLOCATION METHOD; CONVERGENCE; STABILITY; MODEL;
D O I：
10.1016/j.matcom.2019.02.010
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In the current study, a numerical scheme based on the Haar wavelet is proposed to solve a coupled system of fractional-order integral-differential equations. The proposed method is to derive the operational matrix of fractional-order integration, and that is used to transform the main problem to a system of algebraic equations. Additionally, the convergence analysis theorem of this system is rigorously established and the numerical results show that the proposed method is practicable and effective for solving such kinds of problem. (C) 2019 InternationalAssociation forMathematics andComputers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：80 / 89
页数：10
相关论文
共 50 条
  • [21] Numerical Solution of Fractional Differential Equations Using Haar Wavelet Operational Matrix Method
    Shah F.A.
    Abass R.
    Debnath L.
    International Journal of Applied and Computational Mathematics, 2017, 3 (3) : 2423 - 2445
  • [22] Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet
    Rahimkhani, P.
    Ordokhani, Y.
    Babolian, E.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 309 : 493 - 510
  • [23] Solution of systems of integral-differential equations by Adomian decomposition method
    Biazar, J
    APPLIED MATHEMATICS AND COMPUTATION, 2005, 168 (02) : 1232 - 1238
  • [24] AN OPERATIONAL HAAR WAVELET METHOD FOR SOLVING FRACTIONAL VOLTERRA INTEGRAL EQUATIONS
    Saeedi, Habibollah
    Mollahasani, Nasibeh
    Moghadam, Mahmoud Mohseni
    Chuev, Gennady N.
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2011, 21 (03) : 535 - 547
  • [25] Numerical solution of fractional partial differential equations via Haar wavelet
    Zada, Laique
    Aziz, Imran
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2022, 38 (02) : 222 - 242
  • [26] MULTIQUADRIC QUASI-INTERPOLATION METHOD FOR FRACTIONAL INTEGRAL-DIFFERENTIAL EQUATIONS
    Wang, Ziqiang
    Tan, Qing
    Wang, Zhongqing
    Cao, Junying
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (05): : 2534 - 2557
  • [27] MODIFIED LAGUERRE WAVELET BASED GALERKIN METHOD FOR FRACTIONAL AND FRACTIONAL-ORDER DELAY DIFFERENTIAL EQUATIONS
    Secer, Aydin
    Ozdemir, Neslihan
    THERMAL SCIENCE, 2019, 23 : S13 - S21
  • [28] Influence of models approximating the fractional-order differential equations on the calculation accuracy
    Marciniak, Karol
    Saleem, Faisal
    Wiora, Jozef
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 131
  • [29] Fractional-order Chelyshkov wavelet method for solving variable-order fractional differential equations and an application in variable-order fractional relaxation system
    Ngo, Hoa T. B.
    Razzaghi, Mohsen
    Vo, Thieu N.
    NUMERICAL ALGORITHMS, 2023, 92 (03) : 1571 - 1588
  • [30] Fractional-order Chelyshkov wavelet method for solving variable-order fractional differential equations and an application in variable-order fractional relaxation system
    Hoa T. B. Ngo
    Mohsen Razzaghi
    Thieu N. Vo
    Numerical Algorithms, 2023, 92 : 1571 - 1588
12345