How to solve a Partial Differential Ecuation?
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I am a very new person using matlab, I want to know how to solve a PDE such as 
using matlab software. In addition, it will be very usefull if you can also told me how to solve it as a part of a Cauchy's problem with an initial condition or with some boundary conditions.
using matlab software. In addition, it will be very usefull if you can also told me how to solve it as a part of a Cauchy's problem with an initial condition or with some boundary conditions. Thank you.
采纳的回答
The code at the end of the link solves a single equation.
MATLAB does not have the ability to symbolically solve PDEs. If you write down the ODEs for your problem that come from the method of characteristics, you might succeed using MATLAB's "dsolve".
The equations are
du/ds = u
dx/ds = x+x^2
dt/ds = 1
with u = u(x(s),t(s))
You will have to define your boundary conditions to get a unique solution.
Best wishes
Torsten.
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