Title of article :
Finite difference method for capillary formation model in tumor angiogenesis
Author/Authors :
Shahkarami, Amin Department of Mathematics - Lorestan University - Khorramabad - Iran , Ghazanfri, Bahman Department of Mathematics - Lorestan University - Khorramabad - Iran
Abstract :
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.
Keywords
Keywords :
Parabolic partial differential equations , Tumor angiogenesis , Finite difference method , Stability analysis
Journal title :
Journal of Mathematical Modeling(JMM)