Adaptive Step-Size Control in Simulation of Diffusive CVD Processes

<table>2D experiment of the diffusion equation at the end-time <svg height="10.9125" id="M199" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 55.462502 10.9125" width="55.462502" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑇</tspan>
<tspan style="font-size: 12.50px; " x="10.339981" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.380369" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="28.63187" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="34.883369" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="38.009121" y="0">0</tspan>
</text>
</g>
</g>
</svg>, <svg height="13.55" id="M200" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 47.775002 13.55" width="47.775002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.55)">
<g transform="translate(72,-61.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝛽</tspan>
<tspan style="font-size: 12.50px; " x="10.440005" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.480394" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="28.731894" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="31.857643" y="0">1</tspan>
</text>
</g>
</g>
</svg>. x-axis: x-coordinate,
y-axis: y-coordinate and z-axis: c (concentration).</table>

Mathematical Problems in Engineering

Adaptive Step-Size Control in Simulation of Diffusive CVD Processes

Figure 8