Re: How can I do this?
- To: mathgroup at smc.vnet.net
- Subject: [mg19155] Re: How can I do this?
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Thu, 5 Aug 1999 23:58:58 -0400
- Organization: Universitaet Leipzig
- References: <7obbiv$3rm@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Hi Bill,
it depend on the problem. Ifthe 2d problem can be transformed to a
rectangular domain
f[t,x]=Sum[ c[i,j] p[j,t] g[j,x], {i,0,n1},{j,0,n2}]
(notice the product form of the basis function) thats the
way how partial differential equations solved by Fourier expansion.
If you can't get a rectangular domain
f[t,x]=Sum[c[i,j] b[i,j,t,x],{i,0,n1},{j,0,n2}]
will be more general. How ever you will have problems to
find an orthogonal basis b[i,j,t,x].
Hope that helps
Jens
> My question is, How do I go about constructing a function similar to the one
> above but now of two variables so that in the expansion
>
> f[t, x] = c[1] p[1, x]+c[2]p[2, x] + ...
>
> the c's are functions of t so that formal differentiations and integrations
> with respect to t can be carried out on it.
>
> Thanks,
>
> Bill Bertram