Exact Boundary Derivative Formulation for Numerical Conformal Mapping Method

<div>Conformal mapping from (a) an arc region to (b) a rectangular region, where <svg height="9.49473pt" id="M262" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 6.59789 9.49473" width="6.59789pt" 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="M475 507C475 612 440 712 326 712C139 712 23 420 23 215C23 96 58 -12 180 -12C369 -12 475 293 475 507ZM391 522C391 486 387 448 379 394H126C155 538 222 677 310 677C386 677 391 571 391 522ZM373 346C344 193 283 22 189 22C126 22 106 114 106 196C106 243 111 293 118 346H373Z" id="g113-230"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="498" vert-adv-y="498"></glyph.data></g></svg> is from <svg height="11.439pt" id="M263" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 19.4509 11.439" width="19.4509pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g 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Mathematical Problems in Engineering

fig9

Figure 9

Figure 9: Exact Boundary Derivative Formulation for Numerical Conformal Mapping Method 