Date of Award
University or Center
Atlanta University (AU)
School of Arts and Sciences
Professor Ronald E. Mickens
We investigate various mechanisms for the occurrence of numerical instabilities in the discrete modeling of ordinary differential equations by finite-differences. The Logistic equation is used to illustrate the three types of numerical instabilities. Our results can be easily generalized to arbitrary first-order differential equations.
Woods, Berietta F., "Numerical instabilities in finite-difference
models of ordinary differential equations" (1989). ETD Collection for AUC Robert W. Woodruff Library. 389.