Efficiency of High-Order Accurate Difference Schemes for the Korteweg-de Vries Equation

<div>Numerical solutions using the scheme (<a href="https://static-preview.hindawi.com/articles/mpe/volume-2014/862403/figures/#EEq11">11</a>) at <svg height="11.9171pt" id="M196" style="vertical-align:-2.2392pt" version="1.1" viewbox="-0.0498162 -9.6779 53.8246 11.9171" width="53.8246pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M324 430H196L233 583L223 592L145 529L120 430H54L29 396L31 388H111L56 126C33 15 54 -12 77 -12C137 -12 214 57 250 95L233 119C208 92 155 59 138 59C126 59 120 70 131 125L186 390L298 394L324 430Z" id="g113-117"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="341" vert-adv-y="341"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,8.405,0)"><path d="M448 1V51H364C248 51 153 129 140 230H448V280H140C153 381 248 459 364 459H448V509H365C208 509 80 395 80 255S208 1 365 1H448Z" id="g117-173"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="528" 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Mathematical Problems in Engineering

fig6

Figure 6

Figure 6: Efficiency of High-Order Accurate Difference Schemes for the Korteweg-de Vries Equation 