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[02337] Numerical analysis for the cancer invasion system with nonlocal diffusion

  • Session Time & Room : 3E (Aug.23, 17:40-19:20) @E604
  • Type : Contributed Talk
  • Abstract : Cancer modelling is challenging in grounds of capturing the physics behind it and performing numerical simulations. In this work, we analyze the cancer invasion model with nonlocal diffusion. First, the Galerkin finite element scheme is implemented to the given system of equations for spatial discretization. Then, backward Euler scheme is applied for temporal discretization. Further, a priori error bounds and convergence estimates for the fully-discrete problem are derived. Numerical tests provided validate the theoretical studies.
  • Classification : 65M15, 65M60, 92B05
  • Format : Talk at Waseda University
  • Author(s) :
    • Kausika Chellamuthu (Bharathiar University, Coimbatore 641046, Tamil Nadu.)
    • Manimaran Jeyaraj (Vellore Institute of Technology)
    • Manimaran Jeyaraj (Vellore Institute of Technology, Chennai Campus, Chennai - 600127.)