Efficient High-Order Iterative Methods for Solving Nonlinear Systems and Their Application on Heat Conduction Problems

<table class="figure-group"><tr class="fig-image" id="a"><td><object data="https://static.hindawi.com/articles/complexity/volume-2017/6457532/figures/6457532.fig.002a.svgz" name="6457532.fig.002a" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(a) </b>Sizes from 2 to 20</td></tr><tr class="fig-image" id="b"><td><object data="https://static.hindawi.com/articles/complexity/volume-2017/6457532/figures/6457532.fig.002b.svgz" name="6457532.fig.002b" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(b) </b>Sizes from 21 to 50</td></tr></table>

<div>Index <svg height="9.01194pt" id="M217" style="vertical-align:-0.2455397pt" version="1.1" viewbox="-0.0498162 -8.7664 13.2267 9.01194" width="13.2267pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M614 175C564 76 510 21 408 21C256 21 146 149 146 336C146 488 235 629 402 629C510 629 570 586 597 480L626 488C620 541 614 582 606 638C578 643 510 665 429 665C206 665 44 527 44 316C44 157 153 -15 402 -15C474 -15 558 5 586 11C604 45 629 119 643 165L614 175Z" id="g121-65"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="665" vert-adv-y="665"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,8.645,0)"><path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z" id="g121-71"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="341" vert-adv-y="341"></glyph.data></g></svg> for different sizes of the system.</div>

Complexity

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Figure 2

Figure 2: Efficient High-Order Iterative Methods for Solving Nonlinear Systems and Their Application on Heat Conduction Problems 