Neumann and Dirichlet Boundary Conditions for the One-Dimensional Wave Equation

Autor/in	Williams, Hollis
Titel	Neumann and Dirichlet Boundary Conditions for the One-Dimensional Wave Equation
Quelle	In: Physics Education, 57 (2022) 5, Artikel 055028 (3 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Williams, Hollis)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0031-9120
Schlagwörter	Science Education; Physics; Scientific Concepts; Demonstrations (Educational); Equations (Mathematics); College Science; Undergraduate Study + Suchen Sie Ihr Suchwort? Naturwissenschaftliche Bildung; Physik; Demonstrationsexperiment; Demonstrationsmodell; Demonstrationsunterricht; Equations; Mathematics; Gleichungslehre; Grundstudium
Abstract	The notion of a boundary condition is typically considered to be somewhat advanced and not suitable to be introduced in high school level physics. In this article, we give a simple visual demonstration of the difference between Dirichlet and Neumann boundary conditions for a string which oscillates according to the one-dimensional wave equation. The classical Dirichlet problem for a vibrating string in the plane is mathematically deep, but we will avoid the mathematical issues here and only focus on some key physical points which are relevant for understanding how waves propagate along strings. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01