A Family of Sixth-Order Compact Finite-Difference Schemes for the Three-Dimensional Poisson Equation

<table>Stencil weights for the left-hand side matrix <svg height="10.6875" id="M76" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 12.2875 10.6875" width="12.2875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.6875)">
<g transform="translate(72,-63.45)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐇</tspan>
</text>
</g>
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</svg> for the fourth-order scheme, HOC4.</table>

Advances in Numerical Analysis

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Figure 4

Figure 4: A Family of Sixth-Order Compact Finite-Difference Schemes for the Three-Dimensional Poisson Equation 