In this paper, an analysis is performed to find the numerical
solution of a mathematical model for capillary formation in tumor
angiogenesis. Firstly, a time stepping approach is employed for
the time derivative, then a meshfree process based on a global
collocation method using the radial basis functions(RBFs) is
applied for solving the problem. Stability analysis of the method
is investigated. Because of non-availability of the exact
solutions, efficiency and accuracy of the method is demonstrated,
by comparison with existing methods. Also the method is
successfully applied for solving the problem with high values of
the cell diffusion constant, which many of the available methods
are not applicable for solving these cases.
