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APM346-2015S => APM346--Home Assignments => HA3 => Topic started by: Victor Ivrii on February 05, 2015, 07:30:18 PM

Title: HA3 problem 3
Post by: Victor Ivrii on February 05, 2015, 07:30:18 PM

Using either formula (1)--(2) of http://www.math.toronto.edu/courses/apm346h1/20151/HA3.html (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 $\alpha \to +0$?

Title: Re: HA3 problem 3
Post by: Chaojie Li on March 19, 2015, 09:28:36 AM

i just see nobody post yet.

Title: Re: HA3 problem 3
Post by: Chaojie Li on March 19, 2015, 09:44:06 AM

this is part b

Title: Re: HA3 problem 3
Post by: Chaojie Li on March 19, 2015, 10:03:55 AM

this is c and d