Date of Award
University or Center
Atlanta University (AU)
Mathematics and Computer Sciences
Professor Ronald E. Mickens
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.
Smith, Arthur L., "Influence of denominator functions on the solutions of finite-difference schemes" (1989). ETD Collection for AUC Robert W. Woodruff Library. 2072.