symbolic and perturbative recursivity
- To: mathgroup at smc.vnet.net
- Subject: [mg31711] symbolic and perturbative recursivity
- From: Roberto Campanha <campanha at rc.unesp.br>
- Date: Wed, 28 Nov 2001 01:29:34 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Dear Mathematica Group users,
How I can do symbolic recursion on subscribed indexes?
The problem is:
A [x,y,t] = d1*A [x,y,t]+ d2*A [x,y,t] +tau*d3*A
[x,y,t]
i,j i-1,j
i,j-1 i+1,j+1
knowing that
A [x,y,t]=r0
0,0
and all terms with negative indexes are zero.
This recursive scheme is also a perturbative expansion in tau, say we
want terms up to tau^(k).
I can not to change the index i+1=k because there is another envolved
combinations of indexes, say i-2,j+1, and d1,d2 and d3 are derivative
operators.
Jose R. Campanha
Department of Physics
UNESP - Rio Claro - Sao Paulo - Brazil
mail: campanha at rc.unesp.br