Authors: Carlos Armando De Castro
In this paper it is shown a simple approximation of the function exp(x) for positive values of x, deduced from the implicit Euler numerical solution of first order lineal differential equations (ODE). The results show that the approximation has an error of less than 10% for exp(x) when x < 0.35 and for exp(-x) when x < 0.5, which is acceptable for many engineering applications, and helps facilitate the analysis of some systems without the use of computers. Keywords: approximation, Euler implicit method, exponential function, first order ODE.
Comments: 7 pages, one column, 8 figures
[v1] 2015-08-11 10:24:30
Unique-IP document downloads: 121 times
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.