On the Multidomain Bivariate Spectral Local Linearisation Method for Solving Systems of Nonsimilar Boundary Layer Partial Differential Equations

<table class="fixed-width table-group" id="tab4"><tr><td><table class="table"><colgroup><col style="width:5.59em"/><col style="width:5.43em"/><col style="width:5.77em"/><col style="width:5.81em"/><col style="width:5.31em"/><col style="width:5.78em"/><col style="width:5.81em"/></colgroup><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr class="thead"><td class="align_left"> </td><td class="align_center" colspan="3">BSLLM</td><td class="align_center" colspan="3">Multi-Domain BSLLM</td></tr><tr class="thead"><td class="align_left"> <svg height="12.2089pt" id="M319" style="vertical-align:-2.503pt" version="1.1" viewbox="-0.0498162 -9.7059 6.01071 12.2089" width="6.01071pt" 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="M430 689C430 695 425 700 413 700C377 700 332 667 290 635C232 640 213 677 213 696C213 713 220 724 226 732L209 744C166 731 135 700 135 674C135 636 184 601 255 599C144 503 23 345 23 181C23 82 68 44 135 20C156 12 177 7 202 2C238 -5 252 -25 252 -53C252 -98 211 -144 192 -164L214 -187C257 -152 328 -92 328 -19C328 31 298 58 251 70C230 75 208 81 189 88C142 105 108 134 108 208C108 346 202 512 303 595C352 599 430 626 430 689Z"></path></g></svg></td><td class="align_center"><span style="width: 41.6817ptpx;"><svg height="14.8655pt" id="M320" style="vertical-align:-3.4294pt" version="1.1" viewbox="-0.0498162 -11.4361 41.6817 14.8655" width="41.6817pt" 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="M619 670C619 686 593 712 555 712S459 686 410 634S335 504 320 430H250L219 400L222 388H312L258 73C223 -133 201 -166 187 -180C175 -191 158 -199 140 -199C123 -199 88 -188 74 -172C68 -166 63 -164 54 -171C38 -185 23 -201 23 -215C23 -236 60 -261 93 -261C122 -261 161 -247 207 -200C268 -138 300 -71 337 94C365 220 376 277 394 387L501 399L521 430H401C432 623 464 665 501 665C524 665 544 651 567 627C577 617 583 618 592 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colspan="7"><hr/></td></tr><tr><td class="align_left">5</td><td class="align_center"> 0.3088066</td><td class="align_center"> 3.5018993</td><td class="align_center"> 3.0018843</td><td class="align_center"> 0.3088214</td><td class="align_center"> 3.5018961</td><td class="align_center"> 3.0018658</td></tr><tr><td class="align_left">10</td><td class="align_center"> 0.1547399</td><td class="align_center"> 7.0002370</td><td class="align_center"> 6.0002332</td><td class="align_center"> 0.1547399</td><td class="align_center"> 7.0002370</td><td class="align_center"> 6.0002332</td></tr><tr><td class="align_left">15</td><td class="align_center"> 0.1031717</td><td class="align_center"> 10.5000702</td><td class="align_center"> 9.0000691</td><td class="align_center"> 0.1031717</td><td class="align_center"> 10.5000702</td><td class="align_center"> 9.0000691</td></tr><tr><td class="align_left">20</td><td class="align_center"> 0.0773801</td><td class="align_center"> 14.0000296</td><td class="align_center"> 12.0000292</td><td class="align_center"> 0.0773803</td><td class="align_center"> 14.0000296</td><td class="align_center"> 12.0000292</td></tr><tr><td class="align_left">25</td><td class="align_center"> 0.0619014</td><td class="align_center"> 17.5000152</td><td class="align_center"> 15.0000149</td><td class="align_center"> 0.0619045</td><td class="align_center"> 17.5000152</td><td class="align_center"> 15.0000149</td></tr><tr><td class="align_left">30</td><td class="align_center"> 0.0515660</td><td class="align_center"> 21.0000087</td><td class="align_center"> 18.0000086</td><td class="align_center"> 0.0515872</td><td class="align_center"> 21.0000088</td><td class="align_center"> 18.0000086</td></tr><tr><td class="align_left" colspan="7"><hr/></td></tr><tr><td class="align_left">CPU Time</td><td class="align_center"> 77.921</td><td class="align_center"> 77.921</td><td class="align_center"> 77.921</td><td class="align_center"> 17.527</td><td class="align_center"> 17.527</td><td class="align_center"> 17.527</td></tr><tr class="table-tr"><td colspan="7"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Comparison of the MD-BSLLM and the BSLLM solution for <span class="nowrap"><svg height="14.8655pt" id="M310" style="vertical-align:-3.4294pt" version="1.1" viewbox="-0.0498162 -11.4361 41.6817 14.8655" width="41.6817pt" 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="M619 670C619 686 593 712 555 712S459 686 410 634S335 504 320 430H250L219 400L222 388H312L258 73C223 -133 201 -166 187 -180C175 -191 158 -199 140 -199C123 -199 88 -188 74 -172C68 -166 63 -164 54 -171C38 -185 23 -201 23 -215C23 -236 60 -261 93 -261C122 -261 161 -247 207 -200C268 -138 300 -71 337 94C365 220 376 277 394 387L501 399L521 430H401C432 623 464 665 501 665C524 665 544 651 567 627C577 617 583 618 592 625C601 631 619 651 619 670Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.352,-5.741)"><path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z"></path></g><g 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International Journal of Mathematics and Mathematical Sciences

tab4

Table 4

Table 4: On the Multidomain Bivariate Spectral Local Linearisation Method for Solving Systems of Nonsimilar Boundary Layer Partial Differential Equations 

Table 4 | On the Multidomain Bivariate Spectral Local Linearisation Method for Solving Systems of Nonsimilar Boundary Layer Partial Differential Equations 