A Robust Optimal Finite Difference Scheme for the Three-Dimensional Helmholtz Equation

<figure class="figure-group responsive"><div class="sub-figure" id="a"><object data="https://static-preview.hindawi.com/articles/mpe/volume-2019/8532408/figures/8532408.fig.004a.svgz" name="8532408.fig.004a" type="image/svg+xml"></object><div class="fig-label"><b>(a) </b>Example <a href="https://static-preview.hindawi.com/articles/mpe/volume-2019/8532408/figures/#ex4.1">3</a></div></div><div class="sub-figure" id="b"><object data="https://static-preview.hindawi.com/articles/mpe/volume-2019/8532408/figures/8532408.fig.004b.svgz" name="8532408.fig.004b" type="image/svg+xml"></object><div class="fig-label"><b>(b) </b>Example <a href="https://static-preview.hindawi.com/articles/mpe/volume-2019/8532408/figures/#ex4.2">4</a></div></div></figure>

<p>Numerical convergence order of the new scheme.</p>

Mathematical Problems in Engineering

fig4

Figure 4

Figure 4: A Robust Optimal Finite Difference Scheme for the Three-Dimensional Helmholtz Equation 