Numerical study on the proliferation cells fraction of a tumour cord model

A characteristic curves numerical method based on a regular grid is performed for the solution of a kind of boundary-value problem for a hyperbolic first-order integro–partial-differential equation describing the stationary state of a tumour cord. Numerical evidence on the order of convergence is presented. And a study on the function that gives the fraction of cells which reenters into proliferation is developed.