Finite Element Solutions for the Space Fractional Diffusion Equation with a Nonlinear Source Term

<table>Numerical solutions at <svg height="10.825" id="M402" style="vertical-align:-0.11285pt" version="1.1" viewbox="0 0 32.224998 10.825" width="32.224998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.825)">
<g transform="translate(72,-63.34)">
<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="7.37677" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="19.417158" y="0">4</tspan>
</text>
</g>
</g>
</svg> for (<a href="https://static.hindawi.com/articles/aaa/volume-2012/596184/figures/#EEq5.4">5.5</a>) and (<a href="https://static.hindawi.com/articles/aaa/volume-2012/596184/figures/#EEq5.8">5.10</a>) with <svg height="10.9375" id="M403" style="vertical-align:-0.20064pt" version="1.1" viewbox="0 0 35.787498 10.9375" width="35.787498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9375)">
<g transform="translate(72,-63.25)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜆</tspan>
<tspan style="font-size: 12.50px; " x="10.227454" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.267843" y="0">1</tspan>
</text>
</g>
</g>
</svg>.</table>

Abstract and Applied Analysis

fig5

Figure 5

Figure 5: Finite Element Solutions for the Space Fractional Diffusion Equation with a Nonlinear Source Term 