Amin Shahkarami - Department of Mathematics, Lorestan University, Khorramabad, Iran
Bahman Ghazanfri - Department of Mathematics, Lorestan University, Khorramabad, Iran

An implicit finite difference method is implied to approximate a parabolic partial differential equation for capillary formation in tumor angiogenesis. After that, the stability analysis of the method will be investigated. At the end, some numerical simulations are considered to show the applicability and efficiency of the scheme.

Parabolic partial differential equations, Tumor angiogenesis, Finite difference method, Stability analysis