On the Critical Behaviour of Exothermic Explosions in Class A Geometries

<table>Comparison of slab numerical and HPM results of the boundary value problem (<a href="https://static.hindawi.com/articles/mpe/volume-2011/536056/figures/#EEq3">2.4</a>)-(<a href="https://static.hindawi.com/articles/mpe/volume-2011/536056/figures/#EEq4">2.5</a>) for <svg height="10.9125" id="M69" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 46.612499 10.9125" width="46.612499" xmlns="http://www.w3.org/2000/svg">
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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">𝜀</tspan>
<tspan style="font-size: 12.50px; " x="9.5147829" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.555172" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="27.806671" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="30.932423" y="0">1</tspan>
</text>
</g>
</g>
</svg>, <svg height="11.1" id="M70" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 46.912498 11.1" width="46.912498" xmlns="http://www.w3.org/2000/svg">
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<g transform="translate(72,-63.12)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝛿</tspan>
<tspan style="font-size: 12.50px; " x="9.7523403" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.792728" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="28.04423" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="31.169979" y="0">5</tspan>
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</g>
</g>
</svg>. Solid lines: numerical solutions; symbols: HPM solutions.</table>

Mathematical Problems in Engineering

fig1

Figure 1

Figure 1: On the Critical Behaviour of Exothermic Explosions in Class A Geometries 