Numerical Approach of Cattaneo Equation with Time Caputo-Fabrizio Fractional Derivative

被引：0
|
作者：
Soori, Zoleikha [1 ]
Aminataei, Azim [1 ]
机构：
[1] KN Toosi Univ Technol, Dept Math, POB 1676-53381, Tehran, Iran
来源：
IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS | 2024年 / 19卷 / 02期
关键词：
Caputo-Fabrizio fractional derivative; Compact finite difference; Cattaneo equation; Alternating direction implicit method; DIFFUSION; SCHEME; OPERATOR;
D O I：
10.61186/ijmsi.19.2.127
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper, we consider a type of Cattaneo equation with time fractional derivative without singular kernel based on fourth-order compact finite difference (CFD) in the space directions. In case of two dimensional, two alternating direction implicit (ADI) methods are proposed to split the equation into two separate one dimensional equations. The time fractional derivation is described in the Caputo-Fabrizio's sense with scheme of order O (tau(2)). The solvability, unconditional stability and H-1 norm convergence of the scheme are proved. Numerical results confirm the theoretical results and the effectiveness of the proposed scheme.
引用
收藏
页码：127 / 153
页数：27
相关论文
共 50 条
  • [21] A robust stability criterion in the one-dimensional subdiffusion equation with Caputo-Fabrizio fractional derivative
    Temoltzi-Avila, R.
    RICERCHE DI MATEMATICA, 2024, 74 (2) : 1119 - 1136
  • [22] A new numerical fractional differentiation formula to approximate the Caputo-Fabrizio fractional derivative: error analysis and stability
    Herik, Leila Moghadam Dizaj
    JaVidi, Mohammad
    Shafiee, Mahmoud
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2022, 10 (01): : 12 - 27
  • [23] New discretization of Caputo-Fabrizio derivative
    Akman, Tugba
    Yildiz, Burak
    Baleanu, Dumitru
    COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (03) : 3307 - 3333
  • [24] Well-posedness of an initial value problem for fractional diffusion equation with Caputo-Fabrizio derivative
    Nguyen Huy Tuan
    Zhou, Yong
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 375
  • [25] Numerical solvability of generalized Bagley-Torvik fractional models under Caputo-Fabrizio derivative
    Hasan, Shatha
    Djeddi, Nadir
    Al-Smadi, Mohammed
    Al-Omari, Shrideh
    Momani, Shaher
    Fulga, Andreea
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [26] A FRACTIONAL MODEL FOR THE DYNAMICS OF TUBERCULOSIS INFECTION USING CAPUTO-FABRIZIO DERIVATIVE
    Ullah, Saif
    Khan, Muhammad Altaf
    Farooq, Muhammad
    Hammouch, Zakia
    Baleanu, Dumitru
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (03): : 975 - 993
  • [27] Modified analytical approach for generalized quadratic and cubic logistic models with Caputo-Fabrizio fractional derivative
    Djeddi, Nadir
    Hasan, Shatha
    Al-Smadi, Mohammed
    Momani, Shaher
    ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (06) : 5111 - 5122
  • [28] SEIRS epidemic model with Caputo-Fabrizio fractional derivative and time delay: dynamical analysis and simulation
    Hikal, M. M.
    Atteya, T. E. M.
    Hemeda, Hamed M.
    Zahra, W. K.
    RICERCHE DI MATEMATICA, 2024, 73 (02) : 1085 - 1119
  • [29] FUNDAMENTAL RESULTS ON SYSTEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING CAPUTO-FABRIZIO FRACTIONAL DERIVATIVE
    Al-Refai, Mohammed
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 13 (03): : 389 - 399
  • [30] Computational Simulations for Solving a Class of Fractional Models via Caputo-Fabrizio Fractional Derivative
    Kanth, A. S. V. Ravi
    Garg, Neetu
    6TH INTERNATIONAL CONFERENCE ON SMART COMPUTING AND COMMUNICATIONS, 2018, 125 : 476 - 482
12345