Document Type
Article
Department
Mathematics (HMC)
Publication Date
11-2-2006
Abstract
Following Antman [Amer. Math. Mon., 87 (1980), pp. 359–370], we advocate a more physically realistic and systematic derivation of the wave equation suitable for a typical undergraduate course in partial differential equations. To demonstrate the utility of this derivation, three applications that follow naturally are described: strings, hanging chains, and jump ropes.
Rights Information
© 2006 Society for Industrial and Applied Mathematics
Terms of Use & License Information
DOI
10.1137/050641910
Recommended Citation
Yong, DH. Strings, chains, and ropes. SIAM Rev. 2006;48(4): 771-781.
Included in
Ordinary Differential Equations and Applied Dynamics Commons, Other Applied Mathematics Commons, Partial Differential Equations Commons
Comments
First published in SIAM Review, vol. 48, no. 4 (November 2006), by the Society for Industrial and Applied Mathematics.