### Author Topic: 3.1 equation 12  (Read 1206 times)

#### Bruce Wu

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##### 3.1 equation 12
« on: October 17, 2015, 08:47:21 PM »
http://www.math.toronto.edu/courses/apm346h1/20159/PDE-textbook/Chapter3/S3.1.html#mjx-eqn-eq-3.1.12

I might be wrong, but based on the definition of the error function given, shouldn't it be equal to $$\frac{1}{4}+\frac{1}{4}erf\left(\frac{x}{\sqrt{4kt}}\right)$$?

#### Emily Deibert

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##### Re: 3.1 equation 12
« Reply #1 on: October 17, 2015, 11:01:31 PM »
Shouldn't there also be a $\frac{1}{2}$ as part of $U(x,t)$? Or else where does the extra term of $\frac{1}{2}$ come from?