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Consider the temperature caused by a spatiallyvarying initial condition in an
infinite 1D body. The temperature satisfies the following equations:
This case has number X00T5. The solution for the temperature is
given by the initial condition term of the GF solution equation:

(2) 
Because the initial condition is zero over most of the domain the integral
may be carried out over the nonzero portion:

(3) 
Using the X00 Green's function evaluated at ,

(4) 
Using the substitution
this
integral can be written as
where the error function is defined

(7) 
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20040131