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Discontinuous Galerkin method for a nonlinear age-structured tumor cell population model with proliferating and quiescent phases

Author

Listed:
  • Dipty Sharma

    (School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147 004, India)

  • Paramjeet Singh

    (School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147 004, India)

Abstract

We propose a nonlinear age-structured model of tumor cell population with proliferating and quiescent phases. We apply the discontinuous Galerkin (DG) method to study its dynamical behavior. The DG numerical approximation is used for the spatial discretization and then the strong-stability-preserving explicit Runge–Kutta (SSPERK) method is performed for the temporal discretization. This paper aims to establish more efficient results in the sense of computational approach and compare these with analogous estimates for Weighted Essentially and Non-Oscillatory (WENO) scheme. Finally, some test examples and numerical simulations are given to illustrate theoretical results and to examine the behavior of the solution.

Suggested Citation

  • Dipty Sharma & Paramjeet Singh, 2021. "Discontinuous Galerkin method for a nonlinear age-structured tumor cell population model with proliferating and quiescent phases," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 32(03), pages 1-18, March.
    • Handle: RePEc:wsi:ijmpcx:v:32:y:2021:i:03:n:s012918312150039x
    DOI: 10.1142/S012918312150039X
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