Author Topic: HA3 problem 3  (Read 755 times)

Victor Ivrii

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HA3 problem 3
« on: February 05, 2015, 07:30:18 PM »
Using either formula (1)--(2) of http://www.math.toronto.edu/courses/apm346h1/20151/HA3.html or its modification (if
needed)

a.  Solve IVP for a heat equation (3) with $g(x)=e^{-\alpha |x|}$; what happens as $\alpha \to +0$?
b.  Solve IVP for a heat equation with convection (4) with $g(x)=e^{-\alpha |x|}$; what happens as $\alpha \to +0$?
c.  Solve IBVP with the Dirichlet boundary condition for a heat equation (3) with $g(x)=e^{-\alpha |x|}$; what happens as $\alpha \to +0$?
d. Solve IBVP with the Neumann boundary condition for a heat equation (3) with $g(x)=e^{-\alpha |x|}$; what happens as $\alpha \to +0$?

Chaojie Li

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Re: HA3 problem 3
« Reply #1 on: March 19, 2015, 09:28:36 AM »
i just see nobody post yet.

Chaojie Li

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Re: HA3 problem 3
« Reply #2 on: March 19, 2015, 09:44:06 AM »
this is part b

Chaojie Li

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Re: HA3 problem 3
« Reply #3 on: March 19, 2015, 10:03:55 AM »
this is c and d