inverse laplace transform of products / convolution
- To: mathgroup at smc.vnet.net
- Subject: [mg38767] inverse laplace transform of products / convolution
- From: Stephan Adam <stn78 at web.de>
- Date: Fri, 10 Jan 2003 04:33:19 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Hello! Could you plase help me with the following problem and post it in the mathgroup ? >> I'm trying to solve answers of distributed parameter systems (PDEs) using Laplace-Transform. Really often i come around an equation if the form x[t,z]=InverseLaplaceTransform[X[s,z],s,t]. Now the problem is that i want to get an symbolic result for x[t,z] if X[s,z] is the product of two functions: X[s,z]=G[s,z]*U[s,z] When doing In=InverseLaplaceTransform[(G[s,z]*U[s,z]),s,t] with two or one unknown functions Mathematica simply answers Out=InverseLaplaceTransform[(G[s,z]*U[s,z]),s,t] Now, does anyone know how I can get the convolution of these two functions as a result when doing the InverseLaplace-Transform ? I want Mathematica to give the solution in the form of the convolution of the (unknown) Inverse Functions, but I do not know how to make a program that will make it.. This form of solution would enable one to have a compact solution for various diffferent kinds of functions X and U.. instead of every time choosing a specific X and U and then compute the InverseLaplaceTransform (which most often functions without problems). Thank you for your help in andvance, Stephan (stn78 at web.de) ______________________________________________________________________________ Werden Sie kreativ! Bei WEB.DE FreeMail hei?t es jetzt nicht nur schreiben, sondern auch gestalten. http://freemail.web.de/features/?mc=021142