- Collection:
- Atlanta University and Clark Atlanta University Theses and Dissertations
- Title:
- Influence of denominator functions on the solutions of finite-difference schemes, 1989
- Creator:
- Smith, Arthur L.
- Date of Original:
- 1989-04-01
- Subject:
- Degrees, Academic
Dissertations, Academic - Location:
- United States, Georgia, Fulton County, Atlanta, 33.749, -84.38798
- Medium:
- theses
- Type:
- Text
- Format:
- application/pdf
- Description:
- 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.
- External Identifiers:
- Metadata URL:
- http://hdl.handle.net/20.500.12322/cau.td:1989_smith_arthur_l
- Rights Holder:
- Clark Atlanta University
- Holding Institution:
- Atlanta University Center Robert W. Woodruff Library
- Rights:
-
