ERIC Number: EJ1221856
Record Type: Journal
Publication Date: 2019
Pages: 13
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1051-1970
EISSN: N/A
Particles in a Box with One Sticky Wall: From ODE to PDE
McCarthy, Chris; Lan, Jie; Li, Jieying
PRIMUS, v29 n7 p724-741 2019
We present noncompetitive adsorption as "particles in a box with one sticky wall." We start with a general model that can be modeled as a simple ordinary differential equation (ODE). To verify the ODE students run a computer simulation. The ODE's solution imperfectly fits the simulation's data. This leads to the diffusion partial differential equation. We show how to determine the diffusion constant from theory; how to determine how many terms in the Fourier series solution need to be summed; and the use of nonlinear regression. As a bonus, the physics of the model will lead us to a series representation of p.
Descriptors: Equations (Mathematics), Mathematical Models, Problem Solving, Computer Simulation, Regression (Statistics), Chemistry, Mathematics Activities, Mathematics Skills
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Publication Type: Journal Articles; Reports - Descriptive; Guides - Classroom - Teacher
Education Level: N/A
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A