Computing Exponential for Iterative Splitting Methods: Algorithms and Applications

<table>Numerical errors of the standard splitting scheme (a) and the iterative schemes based on one-side to operator <svg height="10.55" id="M241" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.325 10.55" width="11.325" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.55)">
<g transform="translate(72,-63.56)">
<text transform="matrix(1,0,0,-1,-71.95,63.61)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐴</tspan>
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</g>
</g>
</svg> or <svg height="10.325" id="M242" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.625 10.325" width="11.625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐵</tspan>
</text>
</g>
</g>
</svg> (b) and two-side scheme (c).</table>

Journal of Applied Mathematics

fig7

Figure 7

Figure 7: Computing Exponential for Iterative Splitting Methods: Algorithms and Applications 