Finite difference method for capillary formation model in tumor angiogenesis

Document Type : Research Paper


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.