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Mathematical Biology Seminar

 

 

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

 

 

SPARK 327

 

 

 

 

Numerically Solving a Generalized Cahn-Hilliard 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.