Galerkin finite element method for oncolytic M1 cancer virotherapy reaction–diffusion model

Author:

Kumbhar Sunil S.1ORCID,Thakar Sarita1ORCID

Affiliation:

1. Department of Mathematics, Shivaji University, Kolhapur, Maharashtra 416004, India

Abstract

In this paper, we consider oncolytic M1 cancer virotherapy reaction–diffusion model for its numerical simulation. The Galerkin finite element method (FEM) based on cubic B-splines is setup to obtain numerical solutions of this nonlinear model. Stability of the corresponding linearized scheme is studied by the von Neumann method. Since the problem is nonlinear and its exact solutions are not available in the literature, obtained solutions are compared with the numerical solutions available in the literature. The proposed method is consistent and reliable to simulate oncolytic M1 cancer virotherapy reaction–diffusion model.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation

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