Mathematical Biology Seminar



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








Numerically Solving a Generalized Cahn-Hilliard Equation



Zachary Hilliard

Graduate Student



Department of Mathematics and Statistics, WSU










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.