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Numerical Analysis of a Model for the Growth of Microorganisms

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.


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Presenter(s)

Braden Carlson, Craig Montgomery

Mentor(s)

Jianlong Han, Sarah Duffin, Seth Armstrong

Author(s)

Craig Montgomery, Braden Carlson

Type: Oral
Discipline: Mathematical Sciences
Institution: Southern Utah University

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