On the Solution of Fractional Order KdV Equation and Its Periodicity on Bounded Domain Using Radial Basis Functions

<div>Approximate solution of RBF-based method (red) and exact solution (green) to Problem <a href="https://static-preview.hindawi.com/articles/mpe/volume-2022/8924450/figures/#problem1">1</a> at time <span class="nowrap"><svg height="11.439pt" id="M134" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 45.3874 11.439" width="45.3874pt" 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="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"></path></g><g transform="matrix(.013,0,0,-0.013,8.065,0)"><path d="M448 1V51H364C248 51 153 129 140 230H448V280H140C153 381 248 459 364 459H448V509H365C208 509 80 395 80 255S208 1 365 1H448Z"></path></g><g transform="matrix(.013,0,0,-0.013,18.561,0)"><path d="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 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Mathematical Problems in Engineering

fig1

Figure 1

Figure 1: On the Solution of Fractional Order KdV Equation and Its Periodicity on Bounded Domain Using Radial Basis Functions 