University of Guilan Journal of Mathematical Modeling 2345-394X 8 2 2020 05 01 Finite difference method for capillary formation model in tumor angiogenesis 177 188 3968 10.22124/jmm.2020.15830.1386 EN Amin Shahkarami Department of Mathematics, Lorestan University, Khorramabad, Iran Bahman Ghazanfri Department of Mathematics, Lorestan University, Khorramabad, Iran Journal Article 2020 02 26 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 https://jmm.guilan.ac.ir/article_3968_a1105542a2acbaa36dcac601fded25b9.pdf