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Approximations of the Carrier–Greenspan periodic solution to the shallow water wave equations for flows on a sloping beach.

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Figure 1. Cross section of a sloping beach.
Table I. Average absolute discrepancies (errors) EHere, the time interval at xD0 when the setting of the first test case is taken
Table II. Errors Epcomputation uses Carrier–Greenspan exact prescription, and superscript for various times
Figure 4. Relation of the dimensional period T  and the amplitude factor A for LD50,000, h0D500, andD1.0
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Approximations of the Carrier–Greenspan periodic solution to the shallow water wave equations for flows on a sloping beach.

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