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153<br />
Tabela E.18: Or<strong>de</strong>ns assintótica, efetiva e aparente do erro <strong>de</strong> discretização para a variável <strong>de</strong><br />
I com as integrações analítica e regra do retângulo<br />
x<br />
interesse ( )<br />
DDS −2<br />
∆ DDS−2<br />
pL<br />
pE<br />
DDS−2<br />
Fonte analítico<br />
pU<br />
DDS−2<br />
Fonte analítico<br />
pE<br />
DDS−2<br />
Fonte numérico<br />
pU<br />
DDS−2<br />
Fonte numérico<br />
0,5 2,00000000000000<br />
0,25 2,00000000000000 1,95179648151270 1,58530007674695<br />
0,125 2,00000000000000 1,87925361048735 1,97796798424074 1,71767017945610 1,52342863065895<br />
0,0625 2,00000000000000 1,78041937386506 1,91795554613870 1,64316532390386 1,75146645960649<br />
0,03125 2,00000000000000 1,63703659469652 1,84368967978109 1,48813423697988 1,72237474409020<br />
0,01563 2,00000000000000 1,46702706904687 1,72517716223431 1,32509752227223 1,58706274463538<br />
0,00781 2,00000000000000 1,30528634620140 1,56744045000115 1,19467697795700 1,41873762603906<br />
0,00391 2,00000000000000 1,18065176097963 1,39659119501923 1,10804015400470 1,26567044871003<br />
0,00195 2,00000000000000 1,09952218565720 1,24808160296297 1,05717263442731 1,15355703706108<br />
9,76563E-4 2,00000000000000 1,05244363988212 1,14201585533181 1,02944745170039 1,08330728164825<br />
4,88281E-4 2,00000000000000 1,02695030129569 1,07659149875932 1,01494917785490 1,04350998061107<br />
2,44141E-4 2,00000000000000 1,01366526435313 1,03986933509874 1,00753229652745 1,02225186526979<br />
1,2207E-4 2,00000000000000 1,00688121303608 1,02035375687679 1,00378074813004 1,01125460503944<br />
6,10352E-5 2,00000000000000 1,00345288681234 1,01028511799558 1,00189404596794 1,00566005164181<br />
3,05176E-5 2,00000000000000 1,00172953059153 1,00517006967600 1,00094794372178 1,00283828732200<br />
1,52588E-5 2,00000000000000 1,00086553924546 1,00259196999097 1,00047420239186 1,00142121841582<br />
7,62939E-6 2,00000000000000 1,00043296338023 1,00129772604165 1,00023715887207 1,00071112907551<br />
3,8147E-6 2,00000000000000 1,00021653016331 1,00064929919419 1,00011859386050 1,00035569465242<br />
1,90735E-6 2,00000000000000 1,00010827720418 1,00032475875470 1,00005930053704 1,00017787987337<br />
9,53674E-7 2,00000000000000 1,00005414163325 1,00016240668105 1,00002965117031 1,00008894807579<br />
4,76837E-7 2,00000000000000 1,00002707157448 1,00008121016824 1,00001482581061 1,00004447607296<br />
2,38419E-7 2,00000000000000 1,00001353597671 1,00004060679127 1,00000741296167 1,00002223854528<br />
1,19209E-7 2,00000000000000 1,00000676803573 1,00002030382245 1,00000370649493 1,00001111939985<br />
5,96046E-8 2,00000000000000 1,00000338402971 1,00001015201793 1,00000185325099 1,00000555973172<br />
2,98023E-8 2,00000000000000 1,00000169201782 1,00000507603564 1,00000092662638 1,00000277987381<br />
1,49012E-8 2,00000000000000 1,00000084600965 1,00000253802450 1,00000046331341 1,00000138993890<br />
As Tabs. E.19 e E.20 mostram as or<strong>de</strong>ns assintótica, efetiva e aparente do erro <strong>de</strong><br />
discretização para as variáveis I<br />
DDS<br />
e I<br />
DDS−2<br />
obtidas com a forma <strong>de</strong> aplicar as condições <strong>de</strong><br />
contorno com meio-volume e termo fonte integrado pela regra do retângulo.<br />
Tabela E.19: Or<strong>de</strong>ns assintótica, efetiva e aparente do erro <strong>de</strong> discretização para a variável <strong>de</strong><br />
I com a forma <strong>de</strong> aplicar condições <strong>de</strong> contorno com meio-volume<br />
interesse ( )<br />
DDS<br />
∆ x<br />
pE<br />
pL DDS<br />
DDS<br />
pU<br />
DDS<br />
Fonte numérico<br />
Fonte numérico<br />
0,333333333333333 1,00000000000000<br />
0,111111111111111 1,00000000000000 1,73021303409082<br />
0,0370370370370370 1,00000000000000 1,60760662717723 1,75357053892701<br />
0,0123456790123457 1,00000000000000 1,35459896420919 1,66984670392727<br />
0,00411522633744856 1,00000000000000 1,15775299372703 1,42105256542581<br />
0,00137174211248285 1,00000000000000 1,05932151412407 1,19916484578655<br />
4,57247370827618E-4 1,00000000000000 1,02066578304299 1,07743322429393<br />
1,52415790275873E-4 1,00000000000000 1,00699421113828 1,02734829609181<br />
5,08052634252909E-5 1,00000000000000 1,00234339857123 1,00930182500948<br />
1,69350878084303E-5 1,00000000000000 1,00078247548319 1,00312185369583<br />
5,64502926947676E-6 1,00000000000000 1,00026097471021 1,00104300182593<br />
1,88167642315892E-6 1,00000000000000 1,00008700820033 1,00034793303015<br />
6,27225474386307E-7 1,00000000000000 1,00002900458176 1,00011600723753<br />
2,09075158128769E-7 1,00000000000000 1,00000966839931 1,00003867236492<br />
6,96917193762563E-8 1,00000000000000 1,00000322282259 1,00001289115343<br />
2,32305731254188E-8 1,00000000000000 1,00000107427673 1,00000429709172
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