id: 06670848
dt: j
an:
au: Spayd, Kimberly; Puckett, James
ti: A three-fold approach to the heat equation: data, modeling, numerics.
so: PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 26, No. 10, 938-951
(2016).
py: 2016
pu: Taylor \& Francis, Philadelphia, PA
la: EN
cc: M55 I75 I65
ut: mathematical modeling; partial differential equations; student projects
ci:
li: doi:10.1080/10511970.2016.1212957
ab: Summary: This article describes our modeling approach to teaching the
one-dimensional heat (diffusion) equation in a one-semester
undergraduate partial differential equations course. We constructed the
apparatus for a demonstration of heat diffusion through a long, thin
metal rod with prescribed temperatures at each end. The students
observed the physical phenomenon, collected temperature data along the
rod, then referenced the demonstration for purposes in and out of the
classroom. Here, we discuss the experimental setup, how the
demonstration informed practices in the classroom and a project based
on the collected data, including analytical and computational
components.
rv: