Finite Difference and Iteration Methods for Fractional Hyperbolic Partial Differential Equations with the Neumann Condition

<table>The surface shows the exact solution <svg height="13.55" id="M114" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 52.200001 13.55" width="52.200001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.55)">
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<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑢</tspan>
<tspan style="font-size: 12.50px; " x="5.9264221" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="10.089921" y="0">𝑡</tspan>
<tspan style="font-size: 12.50px; " x="14.00336" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="19.204609" y="0">𝑥</tspan>
<tspan style="font-size: 12.50px; " x="26.081259" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="31.29501" y="0">𝑦</tspan>
<tspan style="font-size: 12.50px; " x="37.496498" y="0">)</tspan>
</text>
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</svg> for (<a href="https://static.hindawi.com/articles/ddns/volume-2012/434976/figures/#EEq3.10">3.11</a>). </table>

Discrete Dynamics in Nature and Society

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Figure 5

Figure 5: Finite Difference and Iteration Methods for Fractional Hyperbolic Partial Differential Equations with the Neumann Condition 