Solution to the Problem of a Mass Traveling on a Taut String via Integral Equation

<p>Comparison between the integral approach (black lines) and the Galerkin approach (gray lines), when <svg height="8.8423pt" id="M128" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 44.8393 8.8423" width="44.8393pt" xmlns="http://www.w3.org/2000/svg"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M600 480C600 590 528 650 384 650H143L137 622C222 614 225 607 210 531L130 127C113 41 106 36 23 28L17 0H294L300 28C204 36 195 42 212 127L243 284L314 263C327 263 339 263 352 264C465 271 600 337 600 480ZM508 481C508 351 402 304 329 304C289 304 265 311 250 317L295 559C302 594 310 606 323 611C335 616 350 619 367 619C455 619 508 573 508 481Z"></path></g><g transform="matrix(.013,0,0,-0.013,11.658,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,22.921,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 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Advances in Mathematical Physics

fig3

Figure 3

Figure 3: Solution to the Problem of a Mass Traveling on a Taut String via Integral Equation 