Toronto Math Forum

APM346--2020S => APM346--Lectures and Home Assignments => Chapter 3 => Topic started by: christine on February 13, 2020, 02:53:48 PM

Title: Section3.2
Post by: christine on February 13, 2020, 02:53:48 PM

When solving the IBVP questions in section3.2 (e.g. problem3.8 ), I know the way to first write $u=\frac{1} {\sqrt{4kt\pi}} \int_{0}^{\infty}( e^{-\frac{(x-y)^2}{4kt}}-e^{-\frac{(x+y)^2}{4kt}}) g(y) dy$, and solve the integrals by completing the squares. When I solve it I normally need 20-30 minutes to write out the whole thing, however, during tutorial we only have 10 minutes to finish these kinds of questions, are there any simpler ways to solve them?

Title: Re: Section3.2
Post by: Victor Ivrii on February 14, 2020, 12:51:46 AM

Sometimes, for some functions there are shortcuts, but generally not