Influence of denominator functions on the solutions of finite-difference schemes, 1989
Smith, Arthur L.
1980-1989
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.
text
application/pdf
1989-04-01
thesis
Master of Science (MS)
Clark Atlanta University
Mathematics and Computer Sciences
Mickens, Ronald E.
Georgia--Atlanta
http://hdl.handle.net/20.500.12322/cau.td:1989_smith_arthur_l