Finite-difference models of ordinary differential equations: influence of denominator functions

✍ Scribed by Ronald E. Mickens; Arthur Smith

• Publisher: Elsevier Science
• Year: 1990
• Tongue: English
• Weight: 392 KB
• Volume: 327
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(90)90062-n

✦ Synopsis

We discuss the injuence on the solutions of jinite-difSerence schemes of using a variety of denominator functions in the discrete modeling of the derivative for any ordinary differential equation. The results obtained are a consequence of using a generalized definition ofthefirst derivative. The particular example of the linear decay equation is used to illustrate in detail the various solution possibilities that can occur.