From: "Francis X. Giraldo" 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