Numerical Inversion of the Laplace Transform: The Zakian Method

This Demonstration shows how to numerically invert the Laplace transform of a simple function : , where you can set for . The magenta curve is the analytical inverse function obtained with the help of the built-in Mathematica function InverseLaplaceTransform and the blue dots are the selected values of the numerical inverse of . It is clear that the Zakian method performs well for this kind of test function.


The Zakian method uses the following formula in order to invert :
, where and are the tabulated constants for the Zakian method.
R. G. Rice and D. D. Do, Applied Mathematics and Modeling for Chemical Engineers, New York: Wiley, 1995.
comments
 
Powered by Wolfram Mathematica
Give us your feedback
Give us your feedback

Source page:




 often  occasionally  never

Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed.
Privacy Policy »

Note: To run this Demonstration you need the free
Mathematica Player
or Mathematica 7+
Download or upgrade to Mathematica Player 7
I already have Mathematica Player or Mathematica 7+