Convolution problem

• To: mathgroup at smc.vnet.net
• Subject: [mg35004] Convolution problem
• From: "J. Guillermo Sanchez" <guillerm at usal.es>
• Date: Wed, 19 Jun 2002 05:52:38 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

The convolution integral is given by

c[t_] = Integrate[g[t - T]*i[T], {T, 0, t}] (*eq. 1*)

We suposse that g[t] is known and it is given by

g[t_] = 2.1 Exp[- 0.1*t]  -  1.4 Exp[-0.3*t];

The experimetal data of c(ti) are {ti, c(ti)}

data =
={{0.`,0.005`},{1`,0.427`},{2`,0.535`},{3`,0.577`},{4`,0.592`},{5`,0.587`},
{6`,0.568`},{7`,0.543`},{8`,0.503`},{9`,0.47`},{10`,0.435`},{11`,0.403`},
{12`,0.377`},{13`,0.346`},{14`,0.313`},{15`,0.282`},{16`,0.264`},{17`,0.234`},
{18`,0.219`},{19`,0.195`},{20, 0.18`},{22`,0.149`},{24`, 0.118`},{26`,0.096`},
{28`,0.08`},{29`,0.077`},{30`,0.065`},{32`,0.049`},{34`,0.043`},{36`,0.033`},
{38`,0.033`},{40`,0.024`},{42`,0.015`},{0.045`,0.01`},{50`,0.008`}};

I would like to obtain de numeric values for i(t), I mean the
deconcolution of eq.1. How can I do ?

Thanks

Guillermo Sanchez

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