Inverse Source Identification by the Modified Regularization Method on Poisson Equation

<table>Comparison between the exact solution and its computed approximations with various levels of noise for Example <a href="https://static.hindawi.com/articles/jam/volume-2012/971952/figures/#ex2">4.2</a>: (a) <svg height="13.55" id="M109" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 34.974998 13.55" width="34.974998" 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">𝑝</tspan>
<tspan style="font-size: 12.50px; " x="9.5772982" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.617687" y="0">1</tspan>
</text>
</g>
</g>
</svg>, (b) <svg height="13.55" id="M110" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 34.974998 13.55" width="34.974998" 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">𝑝</tspan>
<tspan style="font-size: 12.50px; " x="9.5772982" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.617687" y="0">2</tspan>
</text>
</g>
</g>
</svg>.</table>

Journal of Applied Mathematics

fig2

Figure 2

Figure 2: Inverse Source Identification by the Modified Regularization Method on Poisson Equation 