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In this work a finite volume scheme is applied to obtain the numerical solution of a mathematical model representing the cells movement due to chemotactic processes. The system of equations is of reaction-diffusion type with nonlinear source term. The problem is solved in a two-dimensional domain. In order to carry out the spatial reconstruction from cell averages, a high order WENO procedure is used. Time integration is achieved using a third order Runge-Kutta TVD scheme. |
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