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151<br />

Tabela E.14: Or<strong>de</strong>ns assintótica, efetiva e aparente do erro <strong>de</strong> discretização para a variável <strong>de</strong><br />

T ,<br />

com as integrações analítica e regra do retângulo<br />

∆ x<br />

interesse ( )<br />

m ret<br />

pE<br />

pL ret<br />

ret<br />

pU<br />

ret<br />

Fonte analítico<br />

pE<br />

ret<br />

Fonte numérico<br />

pU<br />

ret<br />

Fonte numérico<br />

Fonte analítico<br />

0,5 2,00000000000000<br />

0,25 2,00000000000000 1,84695478449439 1,50249622040573<br />

0,125 2,00000000000000 1,95748863831795 1,80655944016388 1,86966179781453 1,33570125202799<br />

0,0625 2,00000000000000 1,98907226369197 1,94669623229814 1,96698490721307 1,83463588329138<br />

0,03125 2,00000000000000 1,99724871735554 1,98632947472612 1,99171831977075 1,95858097783169<br />

0,01563 2,00000000000000 1,99931096029186 1,99656020899801 1,99792781973974 1,98963855006121<br />

0,00781 2,00000000000000 1,99982766372876 1,99913865723753 1,99948184467035 1,99740919085924<br />

0,00391 2,00000000000000 1,99995691115827 1,99978457696320 1,99987045427211 1,99935226935784<br />

0,00195 2,00000000000000 1,99998922749116 1,99994613877919 1,99996761313700 1,99983806556026<br />

9,76563E-4 2,00000000000000 1,99999730685414 1,99998653435341 1,99999190325731 1,99995951627876<br />

4,88281E-4 2,00000000000000 1,99999932671237 1,99999663356701 1,99999797581264 1,99998987906273<br />

2,44141E-4 2,00000000000000 1,99999983167802 1,99999915839042 1,99999949395306 1,99999746976525<br />

1,2207E-4 2,00000000000000 1,99999995791950 1,99999978959752 1,99999987348826 1,99999936744128<br />

6,10352E-5 2,00000000000000 1,99999998947987 1,99999994739938 1,99999996837206 1,99999984186032<br />

3,05176E-5 2,00000000000000 1,99999999736997 1,99999998684984 1,99999999209302 1,99999996046508<br />

1,52588E-5 2,00000000000000 1,99999999934249 1,99999999671246 1,99999999802325 1,99999999011627<br />

7,62939E-6 2,00000000000000 1,99999999983562 1,99999999917812 1,99999999950581 1,99999999752907<br />

3,8147E-6 2,00000000000000 1,99999999995891 1,99999999979453 1,99999999987645 1,99999999938227<br />

1,90735E-6 2,00000000000000 1,99999999998973 1,99999999994863 1,99999999996911 1,99999999984557<br />

9,53674E-7 2,00000000000000 1,99999999999743 1,99999999998716 1,99999999999228 1,99999999996139<br />

4,76837E-7 2,00000000000000 1,99999999999934 1,99999999999679 1,99999999999805 1,99999999999035<br />

2,38419E-7 2,00000000000000 1,99999999999987 1,99999999999917 1,99999999999956 1,99999999999755<br />

1,19209E-7 2,00000000000000 2,00000000000070 1,99999999999960 2,00000000000082 1,99999999999914<br />

5,96046E-8 2,00000000000000 2,00000000022038 1,99999999992747 2,00000000028144 1,99999999990728<br />

2,98023E-8 2,00000000000000 2,00000000138098 1,99999999983351 2,00000000176376 1,99999999978734<br />

1,49012E-8 2,00000000000000 1,99999999787953 2,00000000254813 1,99999999729177 2,00000000325443<br />

Tabela E.15: Or<strong>de</strong>ns assintótica, efetiva e aparente do erro <strong>de</strong> discretização para a variável <strong>de</strong><br />

T ,<br />

com as integrações analítica e regra do retângulo<br />

∆ x<br />

interesse ( )<br />

m trap<br />

pE<br />

pL trap<br />

trap<br />

pU<br />

trap<br />

Fonte analítico<br />

pE<br />

trap<br />

Fonte numérico<br />

pU<br />

trap<br />

Fonte numérico<br />

Fonte analítico<br />

0,5 2,00000000000000<br />

0,25 2,00000000000000 1,71326291163866 1,11571390516511<br />

0,125 2,00000000000000 1,92473484189872 1,62943550504053 1,79143159515108 0,714677649144527<br />

0,0625 2,00000000000000 1,98092369919274 1,90516308153552 1,94829875731879 1,73227724074867<br />

0,03125 2,00000000000000 1,99521404703005 1,97610731650771 1,98709799474204 1,93497135223782<br />

0,01563 2,00000000000000 1,99880244682643 1,99401460008332 1,99677589179101 1,98384786362711<br />

0,00781 2,00000000000000 1,99970054498996 1,99850287358074 1,99919405903531 1,99596833298361<br />

0,00391 2,00000000000000 1,99992513207522 1,99962566967740 1,99979852012400 1,99899247817747<br />

0,00195 2,00000000000000 1,99998128275800 1,99990641437151 1,99994963036609 1,99974814418080<br />

9,76563E-4 2,00000000000000 1,99999532067320 1,99997660340234 1,99998740761246 1,99993703758425<br />

4,88281E-4 2,00000000000000 1,99999883016728 1,99999415083868 1,99999685190442 1,99998425949224<br />

2,44141E-4 2,00000000000000 1,99999970754176 1,99999853770892 1,99999921297619 1,99999606487907<br />

1,2207E-4 2,00000000000000 1,99999992688544 1,99999963442718 1,99999980324405 1,99999901622014<br />

6,10352E-5 2,00000000000000 1,99999998172136 1,99999990860679 1,99999995081101 1,99999975405506<br />

3,05176E-5 2,00000000000000 1,99999999543034 1,99999997715170 1,99999998770275 1,99999993851377<br />

1,52588E-5 2,00000000000000 1,99999999885758 1,99999999428792 1,99999999692569 1,99999998462844<br />

7,62939E-6 2,00000000000000 1,99999999971440 1,99999999857198 1,99999999923142 1,99999999615711<br />

3,8147E-6 2,00000000000000 1,99999999992860 1,99999999964300 1,99999999980786 1,99999999903928<br />

1,90735E-6 2,00000000000000 1,99999999998215 1,99999999991075 1,99999999995196 1,99999999975982<br />

9,53674E-7 2,00000000000000 1,99999999999553 1,99999999997769 1,99999999998798 1,99999999993996<br />

4,76837E-7 2,00000000000000 1,99999999999886 1,99999999999442 1,99999999999696 1,99999999998499<br />

2,38419E-7 2,00000000000000 1,99999999999978 1,99999999999856 1,99999999999934 1,99999999999617<br />

1,19209E-7 2,00000000000000 2,00000000000121 1,99999999999930 2,00000000000187 1,99999999999849<br />

5,96046E-8 2,00000000000000 2,00000000038290 1,99999999987398 2,00000000061467 1,99999999979760<br />

2,98023E-8 2,00000000000000 2,00000000239945 1,99999999971072 2,00000000385196 1,99999999953558<br />

1,49012E-8 2,00000000000000 1,99999999631571 2,00000000442736 1,99999999408540 2,00000000710747

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