"A finite difference approximation to a non-linear set of parabolic differential equations arising in shallow water theory is given. These difference equations were used to determine the shape and rate of propagation of a hum of fluid down a channel of constant depth. The hump of fluid was found to spread instead of steepen, as is the case in the usual shallow water theory."
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Atomic Energy Commission Report NYO-9372
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"A finite difference approximation to a non-linear set of parabolic differential equations arising in shallow water theory is given. These difference equations were used to determine the shape and rate of propagation of a hum of fluid down a channel of constant depth. The hump of fluid was found to spread instead of steepen, as is the case in the usual shallow water theory."
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Heller, Jack & Isaacson, Eugene.The Numerical Solution of a Parabolic System of Differential Equations Arising in Shallow Water Theory,
report,
October 15, 1960;
Washington D.C..
(https://digital.library.unt.edu/ark:/67531/metadc1463594/:
accessed May 24, 2024),
University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu;
crediting UNT Libraries Government Documents Department.