A Chebyshev Spectral Method for Normal Mode and Parabolic Equation Models in Underwater Acoustics

<table class="table-group" id="tab4"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left">Methods</td><td class="align_center"><i>N</i></td><td class="align_center">Time of the normal mode (s)</td><td class="align_center">Time of the PE (s)</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left">FDM</td><td class="align_center">5000</td><td class="align_center">106.709</td><td class="align_center">60.540</td></tr><tr><td class="align_left">CSM</td><td class="align_center">200</td><td class="align_center">24.451</td><td class="align_center">25.898</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Comparison of the computational times between the FDM and the CSM for Case <a href="https://static-preview.hindawi.com/articles/mpe/volume-2020/7461314/figures/#casee2" target="_blank">2</a>.</div>

Mathematical Problems in Engineering

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Table 4

Table 4: A Chebyshev Spectral Method for Normal Mode and Parabolic Equation Models in Underwater Acoustics 