Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, April 25, 2014 - 05:00 to 06:00

Location:

GLK 115

Event Link:

Guest Speaker:

Institution:

Howard University

Abstract:

In many branches of science and engineering, a differential equation provides a model for the

problem of study. Unfortunately, most differential equations cannot be solved exactly so approximation

schemes via discretized equations are often used. This talk aims to serve two goals. First, we introduce

the Nonstandard Finite Difference Scheme, a new type of difference equation that seeks to improve

numerical accuracy by incorporating the features of the differential equation into the numerical scheme.

Second, we discuss several applications to real-world problems such as population growth, infectious

disease propagation, and economics. This is joint work in progress with Ronald Mickens.

This talk is delivered by the AWM and SIAM student chapter guest. BIO: Dr. Talitha Washington is an Associate Professor of Mathematics at Howard University. She has been

an Assistant Professor of Mathematics at the University of Evansville and The College of New Rochelle,

and a VIGRE Research Associate in the Department of Mathematics at Duke University. She earned her

master's and doctoral degrees in mathematics from the University of Connecticut, and completed her

undergraduate studies in mathematics at Spelman College. Dr. Washington's current fields of interest

include applying ordinary and partial differential equations to problems in biology and engineering.

Currently, she serves on the Executive Board of the Association for Women in Mathematics (AWM).