Date of Award

4-1-1989

Degree Type

Thesis

University or Center

Atlanta University (AU)

Degree Name

M.S.

Mathematics and Computer Sciences

First Advisor

Professor Ronald E. Mickens

Abstract

We investigate the influence on the solutions of finite-difference schemes of using unconventional denominator functions in the discrete modeling of the derivatives for ordinary differential equations. The derived results are a consequence of using a generalized definition of the first derivative of a function. Two explicit examples, the linear decay equation and the Logistic differential equation, are used to illustrate in detail the various solution possibilities that can occur.

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