This page has the research from when I was participating in George Mason University's Extreems-QED program. This is a summer research program in applied and computational mathematics. My research project was on tear film dynamics. A tear film is the layer of liquid in an eye. I developed a numerical solution to a previously unsolved partial differential equation system that models the thickness of a tear film on a contact lens in a blinking eye. The numerical method is a modified Chebyshev spectral method.
I have presented this research at the James Madison University's Shenandoah Undergraduate Mathematics and Statistics Conference in September, 2016, the American Physical Society Division of Fluid Dynamics Conference in November, 2016, and the Joint Mathematics Meetings in January, 2017.