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Explicit Solution to the Wave Dispersion Equation with Higher Accuracy

         

摘要

Based on the previous study results, two higher accuracy explicit solutions to the dispersion equation for wave length are presented in this paper. These two solutions have an accuracy of 0.1% over all wave lengths, which is sufficiently complete for practical application. At the same time, several previous explicit solutions also have been reviewed and compared herein. In comparison with accuracy, the results show that the present two solutions are as good as Wu and Thornton's solution (which has a good accuracy over all wave lengths, but its calculation formula is so complex that it is hard to be used with a hand calculator), and are better than the other solutions, they may be rather useful in practical calculation with a hand calculator or computer.

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