Convergence analysis for piecewise Lagrange interpolation method of fractal fractional model of tumor-immune interaction with two different kernels

被引:0
|
作者
Our, Saede Shafip [1 ]
Katani, Roghayeh [1 ]
机构
[1] Univ Yasuj, Fac Sci, Yasuj, Iran
来源
关键词
Tumor-immune interaction; Fractal fractional model; Piecewise Lagrange interpolation; Convergence order; CALCULUS;
D O I
10.22034/cmde.2024.58991.2501
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Ahmad et al. (see [1]) presented a piecewise Lagrange interpolation method for solving tumor-immune interaction models with fractal fractional operators using a power law and exponential kernel. We suggest a convergence analysis for this method and we obtain the order of convergence. Of course, there are some mistakes in this numerical method that were corrected. Furthermore, Numerical illustrations are demonstrated to show the effectiveness of the corrected numerical method.
引用
收藏
页码:169 / 182
页数:14
相关论文
共 28 条
  • [21] Sensitivity and uncertainty analysis of a simplified Kirschner-Panetta model for immunotherapy of tumor-immune interaction
    Omondi, Onyango Lawrence
    Wang, Chuncheng
    Xue, Xiaoping
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [22] Sensitivity and uncertainty analysis of a simplified Kirschner-Panetta model for immunotherapy of tumor-immune interaction
    Onyango Lawrence Omondi
    Chuncheng Wang
    Xiaoping Xue
    Advances in Difference Equations, 2015
  • [23] Mathematical analysis of a cancer model with time-delay in tumor-immune interaction and stimulation processes
    Dehingia, Kaushik
    Sarmah, Hemanta Kumar
    Alharbi, Yamen
    Hosseini, Kamyar
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [24] Mathematical analysis of a cancer model with time-delay in tumor-immune interaction and stimulation processes
    Kaushik Dehingia
    Hemanta Kumar Sarmah
    Yamen Alharbi
    Kamyar Hosseini
    Advances in Difference Equations, 2021
  • [25] Dynamics and Stability of a Fractional-Order Tumor-Immune Interaction Model with B-D Functional Response and Immunotherapy
    Feng, Xiaozhou
    Liu, Mengyan
    Jiang, Yaolin
    Li, Dongping
    FRACTAL AND FRACTIONAL, 2023, 7 (02)
  • [26] Dynamical analysis of a kind of two-stage tumor-immune model under Gaussian white noises
    Li, Wei
    Li, Mengyang
    Trisovic, Natasa
    INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2023, 11 (01) : 101 - 111
  • [27] Dynamical analysis of a kind of two-stage tumor-immune model under Gaussian white noises
    Wei Li
    Mengyang Li
    Natasa Trisovic
    International Journal of Dynamics and Control, 2023, 11 : 101 - 111
  • [28] On Numerical Analysis of Bio-Ethanol Production Model with the Effect of Recycling and Death Rates under Fractal Fractional Operators with Three Different Kernels
    Alqahtani, Rubayyi T.
    Ahmad, Shabir
    Akgul, Ali
    MATHEMATICS, 2022, 10 (07)