Implementing the Vieta–Lucas Collocation Optimization Method for MHD Casson and Williamson Model under the Effects of Heat Generation and Viscous Dissipation

<table class="table-group" id="tab1"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td class="align_left"><span style="width: 9.05107ptpx;"><svg height="8.68572pt" id="M149" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 9.05107 8.68572" width="9.05107pt" 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="M671 0V28C608 36 593 47 562 130C495 309 432 486 368 665L336 656C270 481 202 311 134 139C98 47 84 39 20 28V0H241V28C167 38 156 47 178 115C217 236 276 383 327 530H329C375 398 437 223 484 92C499 47 489 37 424 28V0H671Z"></path></g></svg></span></td><td class="align_center">Abbas and Megahed [<a href="/journals/jmath/2022/3257808/#B17" target="_blank">17</a>]</td><td class="align_center">Present work</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td class="align_left">0.0</td><td class="align_center">1.46382</td><td class="align_center">1.4638174890</td></tr><tr><td class="align_left">0.5</td><td class="align_center">0.83281</td><td class="align_center">0.8327981903</td></tr><tr><td class="align_left">1.0</td><td class="align_center">0.41518</td><td class="align_center">0.4151684879</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Comparison of <svg height="17.6913pt" id="M146" style="vertical-align:-5.528999pt" version="1.1" viewbox="-0.0498162 -12.1623 140.005 17.6913" width="140.005pt" 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="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,4.498,0)"><path d="M535 230V280H52V230H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,12.129,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path></g><g transform="matrix(.013,0,0,-0.013,18.369,0)"><path d="M368 703H309L44 -163H104L368 703Z"></path></g><g transform="matrix(.013,0,0,-0.013,23.73,0)"><path d="M412 140C382 77 369 73 315 73H129L270 222C362 320 402 379 402 466C402 571 322 635 234 635C177 635 130 609 99 576L42 495L64 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403Z"></path></g></svg> with the results of Abbas and Megahed [<a href="/journals/jmath/2022/3257808/#B17" target="_blank">17</a>] when <span class="nowrap"><svg height="12.7178pt" id="M147" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 88.7139 12.7178" width="88.7139pt" 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="M962 650H795L470 145L347 650H176L170 622C268 613 275 606 244 503L190 322C150 188 132 126 118 91C102 50 80 33 18 28L12 0H245L251 28C175 35 170 48 174 93C177 128 191 180 220 284L292 542H294C331 392 383 150 409 4H432L774 555H776L714 137C700 40 694 34 612 28L606 0H868L874 28C793 34 784 37 797 137L849 533C859 612 863 616 956 622L962 650Z"></path></g><g transform="matrix(.013,0,0,-0.013,16.439,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,27.702,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 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Journal of Mathematics

tab1

Table 1

Table 1: Implementing the Vieta–Lucas Collocation Optimization Method for MHD Casson and Williamson Model under the Effects of Heat Generation and Viscous Dissipation 

Table 1 | Implementing the Vieta–Lucas Collocation Optimization Method for MHD Casson and Williamson Model under the Effects of Heat Generation and Viscous Dissipation 