From: "Francis X. Giraldo" <giraldo@nrlmry.navy.mil>
Subject: Re: Inviscid Burgers Equation
Date: Mon, 19 Jul 1999 15:33:33 -0700
Newsgroups: sci.math.num-analysis

Sure,
the Inviscid Burgers Equation has an exact solution.
For u_t + u u_x =0
we get

u(x,t)=f(x - u(x,t)t) for any f(x).
which gives us an implicit solution for u(x,t) but this solution can
be used to obtain a slope in order to check the change of u
wrt "x".
Hope this helps, otherwise, i can give you more info.
cheers,
-francis giraldo


Stephen Higgins wrote in message <37932ED9.794B@doc.mmu.ac.uk>...
>Does anyone know if there is a exact solution for the inviscid Burgers
>equation for a smooth initial condition as a test case for a new scheme
>(to proof the accuracy of the scheme).
>--
>
>Thomas Schwartzkopff
>Department for Computing and Maths
>Manchester Metropolitan University