Presenters: Braden Carlson, College of Engineering and Computational Science, Mathematics
Authors: Craig Montgomery, Braden Carlson
Faculty Advisors: Seth Armstrong, College of Engineering and Computational Science, Mathematics; Sarah Duffin, College of Engineering and Computational Science, Mathematics
Institution: Southern Utah University
A system that arises in a model for the growth of microorganisms in a chemostat is studied. A new semi-implicit numerical scheme is proposed. It is proven that the scheme is uniquely solvable and unconditionally stable. The convergence rate of the numerical solution to the true solution of the system is also given.