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

Katani, Roghayeh; Shafipour, Saede

doi:10.22034/cmde.2024.58991.2501

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

Document Type : Research Paper

Authors

Faculty of Sciences, Yasouj University, Yasouj, Iran.

10.22034/cmde.2024.58991.2501

Abstract

Ahmad et al. [Alex. Eng. J. (2022) 61, 5735-5752.] presented a piecewise Lagrange interpolation method for solving tumor-immune interaction model 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.

Keywords

Main Subjects