Particles in a Box with One Sticky Wall: From ODE to PDE

Autor/inn/en	McCarthy, Chris; Lan, Jie; Li, Jieying
Titel	Particles in a Box with One Sticky Wall: From ODE to PDE
Quelle	In: PRIMUS, 29 (2019) 7, S.724-741 (13 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1051-1970
DOI	10.1080/10511970.2018.1488788
Schlagwörter	Leitfaden; Unterricht; Lehrer; Equations (Mathematics); Mathematical Models; Problem Solving; Computer Simulation; Regression (Statistics); Chemistry; Mathematics Activities; Mathematics Skills + Suchen Sie Ihr Suchwort? Lesson concept; Instruction; Unterrichtsentwurf; Unterrichtsprozess; Teacher; Teachers; Lehrerin; Lehrende; Equations; Mathematics; Gleichungslehre; Mathematical model; Mathematisches Modell; Problemlösen; Computergrafik; Computersimulation; Regression; Regressionsanalyse; Chemie; Mathmatics achievement; Mathematics ability; Mathematische Kompetenz
Abstract	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. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01