Metody Numeryczne projekt


Overview

Arkusz1
Arkusz2
Arkusz3


Sheet 1: Arkusz1

K Tk Yk Zk Xk K1 M1 N1 K2 M2 N2 K3 M3 N3 K4 M4 N4 Yk+1 Zk+1 Xk+1
H
0 0 1 0 0 0 0 28 0 0.14 0.14 0.0007 0.0007 0.2688 7E-06 0.002688 0.277102 1.0002345 0.047348 4.849117
0.01
1 0.01 1.0002345 0.047348 4.849117 0.00047348 0.04849117 22.4371455 0.00071593585 0.1606768975 0.10851337875 0.0012768644875 0.04903373689375 0.211724425605 0.000963817368938 0.05060841425605 0.214707620536762 1.00113831634066 0.133768142173925 8.73117178820779

2 0.02 1.00113831634066 0.133768142173925 8.73117178820779 0.001337681421739 0.087311717882078 17.2452313340735 0.00177424001115 0.173537874552445 0.079577451722581 0.002205370794501 0.087709605140691 0.158906017489852 0.002214777473146 0.088900778056977 0.157376006775557 1.00305692975835 0.250219384728146 11.7111008347534

3 0.03 1.00305692975835 0.250219384728146 11.7111008347534 0.002502193847281 0.117111008347534 12.4897544479491 0.003087748889019 0.17955978058728 0.053477782075134 0.003399992750218 0.11737839725791 0.110931590858392 0.003675977819861 0.118220324256118 0.105671470069687 1.00624920558262 0.388420666110485 13.8651416120677

4 0.04 1.00624920558262 0.388420666110485 13.8651416120677 0.003884206661105 0.138651416120677 8.21481031253563 0.004577463741708 0.179725467683356 0.030383879854045 0.004782833999522 0.138803335519948 0.068173463869206 0.005272240016304 0.13933315075937 0.059928443058744 1.01089537927593 0.540927694991594 15.2771171859079

5 0.05 1.01089537927593 0.540927694991594 15.2771171859079 0.005409276949916 0.152771171859079 4.44553670007918 0.006173132809211 0.174998855359475 0.010364149839721 0.006284271226713 0.152822992608278 0.030815647138942 0.006937506875999 0.153079328330468 0.020281120954154 1.01710564459223 0.701176727679102 16.035146755073

6 0.06 1.01710564459223 0.701176727679102 16.035146755073 0.007011767276791 0.16035146755073 1.19061766085703 0.007813524614545 0.166304555855015 -0.006599154307779 0.007843290056066 0.160318471779191 -0.001119683655108 0.008614951994583 0.160340270714179 -0.013306890830167 1.02492903602766 0.863499693267989 16.2287922707565

7 0.07 1.02492903602766 0.863499693267989 16.2287922707565 0.00863499693268 0.162287922707565 -1.55522321019127 0.009446436546218 0.154511806656609 -0.020595335023975 0.009407555965963 0.162184946032445 -0.027746123667005 0.010256846393004 0.162010461470895 -0.041013646165004 1.03436234075267 1.02311500819408 15.9466389751335

8 0.08 1.03436234075267 1.02311500819408 15.9466389751335 0.010231150081941 0.159466389751335 -3.80879920933477 0.011028482030698 0.140422393704661 -0.03177131153417 0.010933262050464 0.159307533193664 -0.049287951215829 0.011824225413878 0.158973510239176 -0.063131231867809 1.04535881802903 1.17609830049194 15.274297480683

9 0.09 1.04535881802903 1.17609830049194 15.274297480683 0.01176098300492 0.15274297480683 -5.59615425849759 0.012524697878954 0.124762203514342 -0.040318568128369 0.012384794022491 0.152541381966189 -0.066056467348831 0.013286396824581 0.152082410133342 -0.08003990430979 1.05783654530109 1.31933705980882 14.2928067750561

10 0.10 1.05783654530109 1.31933705980882 14.2928067750561 0.013193370598088 0.142928067750561 -6.9504108517047 0.013908010936841 0.108176013492037 -0.046461162134672 0.013734250665548 0.142695761939887 -0.07842810453854 0.014620328217487 0.142143786705175 -0.092184329362477 1.07168624897115 1.45047296069541 13.0774111559871

11 0.11 1.07168624897115 1.45047296069541 13.0774111559871 0.014504729606954 0.130774111559871 -7.90979930098561 0.015158600164754 0.091225115054944 -0.05044490959244 0.014960855182229 0.130521887011909 -0.086824547103371 0.015809948477073 0.129905866088838 -0.100052158867943 1.08677851376748 1.56783529099248 11.696679427113

12 0.12 1.08677851376748 1.56783529099248 11.696679427113 0.015678352909925 0.11696679427113 -8.51588649851243 0.016263186881281 0.074387361778567 -0.052527818531141 0.016050289718818 0.116704155178474 -0.091695017041957 0.01684539446171 0.11604984410071 -0.104155081549299 1.10297029719612 1.6703685697068 10.2119315519116

13 0.13 1.10297029719612 1.6703685697068 10.2119315519116 0.016703685697068 0.102119315519116 -8.81201455545551 0.017214282274664 0.058059242741839 -0.052971797868491 0.016993981910777 0.101854456529774 -0.09350080094145 0.017722230262366 0.101184307509702 -0.105012403311223 1.12011070458451 1.75755707330214 8.67693619251386

14 0.14 1.12011070458451 1.75755707330214 8.67693619251386 0.017575570733022 0.086769361925139 -8.84195286081362 0.018009417542647 0.042559597621071 -0.05203563425343 0.017788368721127 0.086509183753872 -0.092702026574148 0.01844066257056 0.085842341659397 -0.103137141213645 1.13804600555636 1.82934861769121 7.13784197190013

15 0.15 1.13804600555636 1.82934861769121 7.13784197190013 0.018293486176912 0.071378419719001 -8.64876132061376 0.018650378275507 0.028134613115933 -0.049969199545262 0.018434159242492 0.071128573721275 -0.089746641562769 0.019004771914125 0.070480953303374 -0.099024556735075 1.15662389441087 1.88607957547401 5.63330571197265

16 0.16 1.15662389441087 1.88607957547401 5.63330571197265 0.01886079575474 0.056333057119727 -8.27385776024584 0.019142461040339 0.014963768318497 -0.047008827766814 0.018935614596333 0.056098012980892 -0.085061500665537 0.019421775884549 0.055482442113071 -0.093143006732387 1.17569701489631 1.92840275244594 4.19478214133216

17 0.17 1.17569701489631 1.92840275244594 4.19478214133216 0.01928402752446 0.041947821413322 -7.75627865146588 0.019493766631526 0.003166428155992 -0.043373781927663 0.019299859665239 0.041730952503683 -0.079045432214084 0.019701337049496 0.041157367091181 -0.085926954017856 1.19512578442422 1.95721941074992 2.84694146903762

18 0.18 1.19512578442422 1.95721941074992 2.84694146903762 0.019572194107499 0.028469414690376 -7.13211939664969 0.019714541180951 -0.007191182292872 -0.039263717643089 0.019536238196035 0.028273096102161 -0.072064127294887 0.019854925068521 0.027748773417427 -0.077771952838277 1.21478056407922 1.97361641337098 1.60818362914363

19 0.19 1.21478056407922 1.97361641337098 1.60818362914363 0.01973616413371 0.016081836291436 -6.43413829089663 0.019816573315167 -0.016088855163047 -0.034857041486369 0.019655719857895 0.015907551084005 -0.064446676562944 0.01989523964455 0.015437369525807 -0.069031406784622 1.23454322909995 1.97880917964751 0.491220773513656

20 0.20 1.23454322909995 1.97880917964751 0.491220773513656 0.019788091796475 0.004912207735137 -5.69150690472551 0.019812652835151 -0.023545326788491 -0.030310056988498 0.019670365162533 0.004760657450194 -0.056483568215812 0.019835698370977 0.004347372052978 -0.060014886757006 1.25430820012709 1.97409088649943 -0.496297400134868

21 0.21 1.25430820012709 1.97409088649943 -0.496297400134868 0.019740908864994 -0.004962974001349 -4.92968889926283 0.019716093994988 -0.029611418497663 -0.025756789611088 0.019592851772506 -0.005091757949404 -0.048425955706872 0.0196899912855 -0.005447233558417 -0.050987793509025 1.27398299874133 1.96078812642378 -1.35113776403616

22 0.22 1.27398299874133 1.96078812642378 -1.35113776403616 0.019607881264238 -0.013511377640362 -4.17042911344049 0.019540324376036 -0.034363523207564 -0.021309383338993 0.0194360636482 -0.013617924557057 -0.040486004305345 0.019471702018667 -0.013916237683415 -0.042172151955023 1.29348839196323 1.94022304128161 -2.07383643748353

23 0.23 1.29348839196323 1.94022304128161 -2.07383643748353 0.019402230412816 -0.020738364374835 -3.43183506118902 0.019298538590942 -0.03789753968078 -0.017058965258794 0.019212742714412 -0.020823659201129 -0.032838130703858 0.019193993820805 -0.021066745681874 -0.033748331831844 1.31275818977062 1.91368178997819 -2.66806603497456

24 0.24 1.31275818977062 1.91368178997819 -2.66806603497456 0.019136817899782 -0.026680660349746 -2.72853366125749 0.019003414598033 -0.040323328656033 -0.01307688012254 0.018935201256502 -0.026746044750358 -0.025620958657612 0.018869357452278 -0.026936869936322 -0.02585750050192 1.33173875761414 1.88238907712838 -3.14003050819451

25 0.25 1.33173875761414 1.88238907712838 -3.14003050819451 0.018823890771284 -0.031400305081945 -2.07188701294324 0.018666889245874 -0.041759740146661 -0.009416203991417 0.018615092070551 -0.031447386101902 -0.018939825291916 0.018509416910265 -0.031589703334864 -0.018604627771811 1.35038830266654 1.84748836697606 -3.49789779140813

26 0.26 1.35038830266654 1.84748836697606 -3.49789779140813 0.018474883669761 -0.034978977914081 -1.47025225323078 0.01829998878019 -0.042330239180235 -0.00611345419783 0.018263232473859 -0.035009545185071 -0.012869686481315 0.01812478821791 -0.035107674778895 -0.012061878760813 1.36867598839917 1.81002733007212 -3.75127786029977

27 0.27 1.36867598839917 1.81002733007212 -3.75127786029977 0.018100273300721 -0.037512778602998 -0.929271916769579 0.017912709407706 -0.042159138186846 -0.003190421686177 0.017889477609787 -0.037528730711429 -0.00745828490083 0.017724985993607 -0.037587361452006 -0.006272248353441 1.38658092728739 1.77094801709687 -3.91075145668261

28 0.28 1.38658092728739 1.77094801709687 -3.91075145668261 0.017709480170969 -0.039107514566826 -0.452182709081143 0.017513942598135 -0.041368428112232 -0.000656060965716 0.017502638030408 -0.039110794871655 -0.002729460372426 0.017318372222252 -0.03913480917055 -0.0012533089609 1.4040910962291 1.73108122214601 -3.987452633469

29 0.29 1.4040910962291 1.73108122214601 -3.987452633469 0.01731081222146 -0.03987452633469 -0.040132142157653 0.017111439589787 -0.040075187045478 0.001491617847704 0.017110436286233 -0.039867068245452 0.001313501548362 0.016912141539006 -0.039861391319206 0.002999038356823 1.42120221381452 1.69114448410671 -3.99270644430378

30 0.30 1.42120221381452 1.69114448410671 -3.99270644430378 0.016911444841067 -0.039927064443038 0.30750597548527 0.016711809518852 -0.038389534565612 0.003263701347574 0.016719497168239 -0.0399107459363 0.004684570626622 0.016512337381704 -0.039880218736772 0.006506901363796 1.43791661308068 1.65174317674278 -3.93772154083754

31 0.31 1.43791661308068 1.65174317674278 -3.93772154083754 0.016517431767428 -0.039377215408376 0.592824693485717 0.016320545690386 -0.036413091940947 0.0046786072405 0.016335366307723 -0.039353822372173 0.007411794867447 0.016123893543706 -0.039303097459701 0.00930689739585 1.45424213796524 1.61337415316039 -3.83333614165463

32 0.32 1.45424213796524 1.61337415316039 -3.83333614165463 0.016133741531604 -0.038333361416546 0.819091774770214 0.015942074724521 -0.034237902542695 0.005760430365222 0.015962552018891 -0.03830455926472 0.009534302682239 0.015750695938957 -0.038238018389724 0.011446875807754 1.47019108645813 1.57643143592354 -3.68981478887582

33 0.33 1.47019108645813 1.57643143592354 -3.68981478887582 0.015764314359235 -0.036898147888758 0.990476953150697 0.015579823619792 -0.031945763123005 0.006537422280468 0.01560458554362 -0.036865460777356 0.011099527882846 0.015395659751462 -0.03678715260993 0.012982905537739 1.48577921853106 1.54121347787364 -3.51669249570664

34 0.34 1.48577921853106 1.54121347787364 -3.51669249570664 0.015412134778736 -0.035166924957066 1.11180204963624 0.015236300153951 -0.029607914708885 0.007040619511556 0.015264095205192 -0.035131721859509 0.012160688490425 0.015060817560141 -0.035045318072162 0.013976557609606 1.50102484237392 1.50793155851264 -3.32266229183167

35 0.35 1.50102484237392 1.50793155851264 -3.32266229183167 0.015079315585126 -0.033226622918317 1.18831627853341 0.014913182470535 -0.02728504152565 0.007302629442656 0.014942890377498 -0.033190109771104 0.012774539067254 0.014747414487415 -0.033098877527644 0.014492500303702 1.51594798833535 1.47671892467272 -3.11550177252218

36 0.36 1.51594798833535 1.47671892467272 -3.11550177252218 0.014767189246727 -0.031155017725222 1.22549807740106 0.014611414158101 -0.025027527338217 0.007356577522892 0.014642051610036 -0.031118234837607 0.012999406374905 0.014456006898351 -0.031025023661473 0.014596414194397 1.53056967628224 1.447640330383 -2.90203402929034

37 0.37 1.53056967628224 1.447640330383 -2.90203402929034 0.01447640330383 -0.029020340292904 1.22888392931169 0.014331301602366 -0.022875920646345 0.007235214920739 0.014362023700598 -0.0289841642183 0.012893509646812 0.014186561661647 -0.028891405196435 0.014353225274304 1.54491127887748 1.42070167784656 -2.68811826200349

38 0.38 1.54491127887748 1.42070167784656 -2.68811826200349 0.014207016778466 -0.026881182620035 1.20392391114291 0.014072610865366 -0.02086156306432 0.006970181993832 0.014102708963144 -0.026846331710066 0.012513559616382 0.013938553461365 -0.026756047023871 0.013825646927304 1.55899398052695 1.39585950798112 -2.47866542178838

39 0.39 1.55899398052695 1.39585950798112 -2.47866542178838 0.013958595079811 -0.024786654217884 1.15586309416737 0.013834661808722 -0.019007338747047 0.006591419906192 0.013863558386076 -0.024753697118353 0.011913624612517 0.013711058108628 -0.024667517971759 0.01307301550539 1.57283832945662 1.37303013399438 -2.27767438867002

40 0.40 1.57283832945662 1.37303013399438 -2.27767438867002 0.013730301339944 -0.0227767438867 1.08964743690503 0.01361641762051 -0.017328506702175 0.006126720375532 0.013643658806433 -0.022746110284823 0.011144247448298 0.013502840237096 -0.022665301412217 0.012150399616326 1.58646387852844 1.35209825411556 -2.08828442664185

41 0.41 1.58646387852844 1.35209825411556 -2.08828442664185 0.013520982541156 -0.020882844266419 1.00985243698183 0.013416568319824 -0.015833582081509 0.005601401814304 0.013441814630748 -0.020854837257347 0.010251793392873 0.013312434168582 -0.02078032633249 0.011107959829879 1.59988890896359 1.33292491923612 -1.91283996210418

42 0.42 1.59988890896359 1.33292491923612 -1.91283996210418 0.013329249192361 -0.019128399621042 0.920632539108496 0.013233607194256 -0.014525236925499 0.005038098977694 0.013256623007734 -0.019103209126153 0.00927800712604 0.0131382171011 -0.019035619549781 0.009990533237588 1.61313023007983 1.3153547673571 -1.75296408134525

43 0.43 1.61313023007983 1.3153547673571 -1.75296408134525 0.013153547673571 -0.017529640813453 0.825689119791292 0.013065899469504 -0.013401195214496 0.004456652584448 0.013086541697499 -0.01750735755053 0.008259755115865 0.012978474098066 -0.017447043262294 0.008837416024709 1.62620304743077 1.29922246908947 -1.60963752280915

44 0.44 1.62620304743077 1.29922246908947 -1.60963752280915 0.012992224690895 -0.016096375228092 0.728254775005581 0.012911742814754 -0.012455101353064 0.003874085165318 0.012929949184129 -0.016077004802265 0.007228929214602 0.012831454642872 -0.016024085935946 0.00768231680063 1.63912089131936 1.28435835684368 -1.48328033604814

45 0.45 1.63912089131936 1.28435835684368 -1.48328033604814 0.012843583568437 -0.014832803360481 0.631091613602472 0.012769419551635 -0.011677345292469 0.003304649552416 0.012785196841975 -0.014816280112719 0.006212487318825 0.01269542076731 -0.014770678487293 0.006553453753448 1.65189559750652 1.27059323473399 -1.3738337791984

46 0.46 1.65189559750652 1.27059323473399 -1.3738337791984 0.01270593234734 -0.013738337791984 0.536501295590703 0.01263724065838 -0.011055831314031 0.002759936886302 0.01265065319077 -0.013724538107553 0.005232607570649 0.012568686966264 -0.013686011716278 0.005473769617718 1.66453733200851 1.25776238667542 -1.28084042017802

47 0.47 1.66453733200851 1.25776238667542 -1.28084042017802 0.012577623866754 -0.01280840420178 0.446344639919133 0.012513581845745 -0.010576681002185 0.002249031724723 0.012524740461743 -0.012797159043157 0.004306933677301 0.012449652276323 -0.012765334865007 0.00446123984963 1.67705465213485 1.24570881681584 -1.20352078508255

48 0.48 1.67705465213485 1.24570881681584 -1.20352078508255 0.012457088168159 -0.012035207850826 0.362068750822203 0.012396912128904 -0.010224864096715 0.001778702730311 0.012405963847675 -0.012026314337174 0.003448890392156 0.012336825024787 -0.012000718946904 0.003529251177725 1.68945459632587 1.23428576953826 -1.1408452537084

49 0.49 1.68945459632587 1.23428576953826 -1.1408452537084 0.012342857695383 -0.011408452537084 0.284739765746558 0.012285815432697 -0.009984753708351 0.00135361844186 0.012292933926841 -0.011401684444875 0.00266804993593 0.012228840850934 -0.011381772037725 0.002687029735811 1.7017427958701 1.22335858605805 -1.09160023166875

50 0.50 1.7017427958701 1.22335858605805 -1.09160023166875 0.012233585860581 -0.010916002316688 0.215079502746569 0.012179005848997 -0.009840604802955 0.000976578747941 0.012184382836566 -0.010911119422948 0.001970532055273 0.012124474666351 -0.010896296996135 0.00194010019487 1.71392360218644 1.21280596143061 -1.05444792757743

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98 0.98 2.1699631348578 0.746763450204089 -0.800578540318277 0.007467634502041 -0.008005785403183 0.049679764389872 0.007427605575025 -0.007757386581233 0.000288760139535 0.007428847569135 -0.008004341602485 0.000520087418667 0.007387591086016 -0.008000584528996 0.000577920874715 2.1773911568372 0.738841812487486 -0.791932643588112

99 0.99 2.1773911568372 0.738841812487486 -0.791932643588112 0.007388418124875 -0.007919326435881 0.048438103717814 0.007348821492695 -0.007677135917292 0.000282008641915 0.007350032445288 -0.007917916392672 0.000507594575813 0.007309238960948 -0.007914250490123 0.000564487683527 2.18474038433083 0.731004532229831 -0.783502343948646

100 1.00 2.18474038433083 0.731004532229831 -0.783502343948646 0.007310045322298 -0.007835023439486 0.047328595538687 0.007270870205101 -0.007598380461793 0.000276016336483 0.007272053419989 -0.007833643357804 0.000496469142956 0.00723170888872 -0.007830058748057 0.00055255975463 2.19201165124103 0.723249677258708 -0.775264656239947


Sheet 2: Arkusz2














Y(k)=T(k)





















































Sheet 3: Arkusz3














Z(k)=T(k)

























































































































Z(k)=X(k)



















































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