Numerical Resolution of one Nonlinear Diffusion Model

Author: Maia Nikolishvili
Keywords: System of nonlinearpartial differential equations, vien formation of young leaves, finite difference schemes.
Annotation:

The one-dimensional analog of the nonlinear system of partial differential equations arising in process of vein formation of young leaves is considered. Semi-discrete and and finite difference schemes for initial-boundary value problems are constructed. Numerical experiments are done and respective graphical illustrations are presented.