On Wed, Jul 8, 2009 at 4:31 PM, Priit Laes<plaes...@gmail.com> wrote:
>
> Hey,
>
> For the past week I have been trying to figure out how to implement
> solver for most basic types of PDEs and now it is finally time to show
> something:
>
> In [1]: from sympy import *
> In [2]: from sympy.solvers.solvers import *
> In [3]: from sympy import Derivative as D
> In [4]: t,x,y,z = symbols('txyz')
> In [5]: a = Symbol('a', Real=True)
> In [6]: u = Function('u')
> In [7]: eq = Eq(D(u(x, t), t) + a*D(u(x, t), x))
> In [8]: eq
> Out[8]:
> d d
> a⋅──(u(x, t)) + ──(u(x, t)) = 0
> dx dt
> In [9]: pdesolve(eq, u(x, t))
> Out[9]: [x - a⋅t]
I don't understand this notation. Does [x-at] mean f(x-at) for some
differentiable function f?
>
>
> I have pushed the preliminary current code to my github repository into
> 'char-method-first-order' branch.
>
> Comments, suggestions, patches are more than welcome :)
>
>
> Cheers,
> Priit :)
>
>
> >
>
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