[Maxima] Solving linear second-order PDE in closed form

[Michel Talon]

Jaime Villate wrote:
> On 04/20/2012 03:54 PM, Michel Talon wrote:
>> 张鹏程 wrote:
>>> Hi,
>>>      I'm a undergraduate strudent, learning linear second-order PDE now.I
>>> want to write some programs to solve the boring PDEs.Are there any
examples
>>> to help me begin the work?
>>>
>> Have you looked at contrib_ode and ode2?
>>
> Those will not help him, because they are for ODEs and not for PDEs. It
> will be very nice to
> have a Maxima package for PDE, even if it only solves "boring" cases.

Oh, sorry, i confused P with O. Well for PDEs besides constant coefficients
there is not much available for explicit solutions. The Riemann method of
characteristics being one of the few that can treat some exceptional non
constant coeffs problems, as in the Riemann solution of the 1-dim propagation
of compressible fluids. Or some exact solutions for "integrable" systems of
PDEs (solitons, etc.) but all this is beyond what a CAS software can do, most
presumably.

-- 
Michel Talon