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Solve the oscillating function

• To: mathgroup at smc.vnet.net
• Subject: [mg36556] Solve the oscillating function
• From: rex_chaos at 21cn.com (Rex_chaos)
• Date: Wed, 11 Sep 2002 13:27:42 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Hi there,
  I am new to numerical computing. I have a equation
  dQ/dz = exp(-i*4*a^2*z - i*pi/4)*f(z,t)/sqrt(4*pi*z)
  where z is the position range from 0 to 10, t is the time range from
0 to 10
  f(z,t) = integration of exp(i*(t-t1-z)^2/z)*g(t1) from t1=-100 to
100
  g(t1) = d^3 sech(t1) / dt^3

  I would like to solve Q(z,t), however, I am a new to mathematica.
Can anyone help me?

Thanks a lot.