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

โœ Scribed by Ronald E. Mickens; Arthur Smith


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
392 KB
Volume
327
Category
Article
ISSN
0016-0032

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โœฆ 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.


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