
Mathematical Biology Seminar 


Tuesday,
03/05/2019, at 4:10  5:00 


SPARK
327 




Numerically Solving a Generalized CahnHilliard Equation 


Zachary
Hilliard Graduate Student 


Department of
Mathematics and Statistics, WSU 





Abstract 


Last week Dr. Schreyer
introduced a partial differential equation which models the migration of
mammals or refugees when treated in a continuum mechanics context. This week
I will give an overview on how to solve this equation numerically. First, a
few important qualities of the equation will be discussed. Then for both the
1D case (using finite differences) and the 2D case (using finite elements),
we will start with the equation and derive an approximation which can readily
be implemented on a computer. This should be of use to anyone interested in
solving elliptic or parabolic PDEs numerically. 
