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MathGroup Archive 2001

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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



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