PDE solver- help me match up with the template

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Eric
Eric 2013-2-7
I am trying to use the PDE solver, and am getting lost. I am trying to solve du/dt+du/dx=0 with I.C. u(0,x)=(cos(pi*x))^2 if -.5<=x<=.5 or u(0,x)=0 otherwise and u(t,-1)=0. So my first question is, is a right side boundary required? If so, make it 0. I want this PDE solved specifically on -1<=x<=3 and 0<=t<=2.4
So, I'm trying to paste the template but I honestly can not get it to look right. So I'll just assume someone knows how to do this process without seeing the template.

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回答（1 个）

Bill Greene
Bill Greene 2013-2-8
Hi,
Are you trying to solve this equation with the MATLAB function pdepe? Your equation is a classical convection equation, a well-known hyperbolic PDE. The function pdepe is designed to solve parabolic or a combination of parabolic and elliptic equations rather than hyperbolic.
I don't know of a standard MATLAB function for solving this type of hyperbolic equation.
Take a look this book chapter: http://www.siam.org/books/textbooks/OT88sample.pdf for a discussion of numerical techniques appropriate to your equation.
Bill

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