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ckm0811新蟲 (初入文壇)
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[求助]
1stopt 7參數(shù)擬合求助 已有2人參與
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需要根據(jù)兩個(gè)式子（一個(gè)微分方程，一個(gè)代數(shù)方程）擬合7個(gè)未知參數(shù)fac(1)~fac(7)，網(wǎng)上下載的軟件有參數(shù)限制，想向有正版軟件的朋友求助，幫忙擬合一下。寫了兩版，程序分別如下。完整程序和數(shù)據(jù)放在了文件里，不知為什么上傳失敗，只能貼一下網(wǎng)盤鏈接，麻煩大家了。 鏈接：https://pan.baidu.com/s/18yjg6HL9hhQ5hmjGdjFhEQ 提取碼：8xmm 第一種： //title "fit"; parameter fac(1:7); variable t,lamb,pa,p,lambv; odefunction lambv'=((1/3/fac(7))*(fac(1)*((lamb/lambv)^fac(2)-(lambv/lamb)^(0.5*fac(2)))+fac(3)*((lamb/lambv)^fac(4)-(lambv/lamb)^(0.5*fac(4)))+fac(5)*((lamb/lambv)^fac(6)-(lambv/lamb)^(0.5*fac(6))))); p=(pa+fac(1)*((lamb/lambv)^fac(2)/lamb-(lambv/lamb)^(fac(2)*0.5)/lamb)+fac(3)*((lamb/lambv)^fac(4)/lamb-(lambv/lamb)^(fac(4)*0.5)/lamb)+fac(5)*((lamb/lambv).^fac(6)/lamb-(lambv/lamb)^(fac(6)*0.5)/lamb)); //根據(jù)上面兩個(gè)式子擬合fac(1)~fac(7)，共計(jì)7個(gè)參數(shù)。lambv為中間變量 data; //t,lamb,pa,p 第二種： //title "fit"; parameter fac(1:7); variable t,lamb,pa,p; conststr lambvdif=((1/3/fac(7))*(fac(1)*((lamb/lambv)^fac(2)-(lambv/lamb)^(0.5*fac(2)))+fac(3)*((lamb/lambv)^fac(4)-(lambv/lamb)^(0.5*fac(4)))+fac(5)*((lamb/lambv)^fac(6)-(lambv/lamb)^(0.5*fac(6))))); function p=(pa+fac(1)*((lamb/lambv)^fac(2)/lamb-(lambv/lamb)^(fac(2)*0.5)/lamb)+fac(3)*((lamb/lambv)^fac(4)/lamb-(lambv/lamb)^(fac(4)*0.5)/lamb)+fac(5)*((lamb/lambv).^fac(6)/lamb-(lambv/lamb)^(fac(6)*0.5)/lamb)); //根據(jù)上面兩個(gè)式子擬合fac(1)~fac(7)，共計(jì)7個(gè)參數(shù)。lambv為中間變量 data; //t,lamb,pa,p |
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獨(dú)孤神宇
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2樓2021-07-20 22:43:35
ckm0811
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您好，我用微分方程組的形式寫了一下程序，可以麻煩您幫我跑一下看看嗎 Parameter fac(1:7); ConstStr lambdif=A*w*cos(w*t); lambvdif=((1/3/fac(7))*(fac(1)*((lamb/lambv)^fac(2)-(lambv/lamb)^(0.5*fac(2)))+fac(3)*((lamb/lambv)^fac(4)-(lambv/lamb)^(0.5*fac(4)))+fac(5)*((lamb/lambv)^fac(6)-(lambv/lamb)^(0.5*fac(6))))); Variable t,lamb,pa,p; Constant A=0.02,w=2*pi*0.1; ODEFunction p'=pa+fac(1)*((fac(2)-1)*lamb^(fac(2)-2)*lambv^(-fac(2))*lambdif-fac(2)*lamb^(fac(2)-1)*lambv^(-fac(2)-1)*lambvdif+(0.5*fac(2)+1)*lamb^(-0.5*fac(2)-2)*lambv^(0.5*fac(2))*lambdif-0.5*fac(2)*lamb^(-0.5*fac(2)-1)*lambv^(0.5*fac(2)-1)*lambvdif)+fac(3)*((fac(4)-1)*lamb^(fac(4)-2)*lambv^(-fac(4))*lambdif-fac(4)*lamb^(fac(4)-1)*lambv^(-fac(4)-1)*lambvdif+(0.5*fac(4)+1)*lamb^(-0.5*fac(4)-2)*lambv^(0.5*fac(4))*lambdif-0.5*fac(4)*lamb^(-0.5*fac(4)-1)*lambv^(0.5*fac(4)-1)*lambvdif)+fac(5)*((fac(6)-1)*lamb^(fac(6)-2)*lambv^(-fac(6))*lambdif-fac(6)*lamb^(fac(6)-1)*lambv^(-fac(6)-1)*lambvdif+(0.5*fac(6)+1)*lamb^(-0.5*fac(6)-2)*lambv^(0.5*fac(6))*lambdif-0.5*fac(6)*lamb^(-0.5*fac(6)-1)*lambv^(0.5*fac(6)-1)*lambvdif); //根據(jù)上面兩個(gè)式子擬合fac(1)~fac(7)，共計(jì)7個(gè)參數(shù)。lambv為中間變量 Data; //t,lamb,pa,p 0 0.959926667213440 -0.218715993911157 -0.0609662220570843 0.0100000000000000 0.960060000419617 -0.217953308698164 -0.0601988575052841 0.0200000000000000 0.960183332761129 -0.217248055533299 -0.0586004556313694 0.0300000000000000 0.960310000181198 -0.216523956896799 -0.0598319351599084 0.0400000000000000 0.960420000155767 -0.215895323573625 -0.0592181922334017 0.0500000000000000 0.960559999942780 -0.215095494743585 -0.0577557643513868 0.0600000000000000 0.960676667292913 -0.214429178596415 -0.0563035568552177 0.0700000000000000 0.960810000101725 -0.213667918567369 -0.0562269347026404 0.0800000000000000 0.960936667521795 -0.212944948052557 -0.0564259238264651 0.0900000000000000 0.961046667098999 -0.212317295943482 -0.0537828971720869 0.100000000000000 0.961189999580383 -0.211499705156834 -0.0547939745570696 0.110000000000000 0.961310000419617 -0.210815425359240 -0.0536558808743694 0.120000000000000 0.961439999739329 -0.210074361156256 -0.0552049394966249 0.130000000000000 0.961553332805634 -0.209428498212864 -0.0533279895347856 0.140000000000000 0.961696667273839 -0.208611922930574 -0.0547945686849519 0.150000000000000 0.961800000270208 -0.208023415546762 -0.0532876594536559 0.160000000000000 0.961940000057221 -0.207226321745154 -0.0509894265270881 0.170000000000000 0.962063333988190 -0.206524344385847 -0.0501778902776873 0.180000000000000 0.962169999678930 -0.205917410019245 -0.0502746930628899 0.190000000000000 0.962316667238871 -0.205083123883024 -0.0495968417849477 0.200000000000000 0.962433333396912 -0.204419710035615 -0.0472132050693843 0.210000000000000 0.962576666275660 -0.203604919455239 -0.0484606909901491 0.220000000000000 0.962676665782928 -0.203036632647645 -0.0495768924563658 0.230000000000000 0.962816666762034 -0.202241257206550 -0.0508967558960456 0.240000000000000 0.962926666736603 -0.201616516537996 -0.0476233841843231 0.250000000000000 0.963063333431880 -0.200840559228892 -0.0468362780039746 0.260000000000000 0.963176666895549 -0.200197280019895 -0.0486882526110127 0.270000000000000 0.963316667079926 -0.199402888747258 -0.0454051383025184 0.280000000000000 0.963433334032695 -0.198741104393035 -0.0452764009626071 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-0.180212790651351 -0.0328476531863676 0.560000000000000 0.966833333174388 -0.179537732473905 -0.0325253978559010 0.570000000000000 0.966953334013621 -0.178862866531231 -0.0332915932673917 0.580000000000000 0.967066667079926 -0.178225679580843 -0.0316902061386422 0.590000000000000 0.967166666587194 -0.177663602741103 -0.0315181295683456 0.600000000000000 0.967303333679835 -0.176895645311491 -0.0325612034572683 0.610000000000000 0.967396666606267 -0.176371336695062 -0.0309402003803836 0.620000000000000 0.967536666393280 -0.175585093835344 -0.0312076525270728 0.630000000000000 0.967653333346049 -0.174930092472352 -0.0308357845343375 0.640000000000000 0.967749999761581 -0.174387519925182 -0.0291192343976965 0.650000000000000 0.967886667251587 -0.173620644511959 -0.0285421873746685 0.660000000000000 0.967986666758855 -0.173059682888543 -0.0285225129376410 0.670000000000000 0.968120000362396 -0.172311939786930 -0.0267974070448110 0.680000000000000 0.968226666450501 -0.171713923202809 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1.22000000000000 0.973826666673024 -0.140531753167651 -0.0103566043799177 1.23000000000000 0.973903333743413 -0.140107729521413 -0.0103308521496187 1.24000000000000 0.974006667137146 -0.139536343542061 -0.0107882714921145 1.25000000000000 0.974090000391007 -0.139075650643072 -0.0109397122041476 1.26000000000000 0.974159998893738 -0.138688746536607 -0.0107228623140689 1.27000000000000 0.974263333479563 -0.138117700027004 -0.00990603193088691 1.28000000000000 0.974366667270660 -0.137546797074590 -0.00938155311232515 1.29000000000000 0.974436666568120 -0.137160140979443 -0.00888102709894390 1.30000000000000 0.974533332983653 -0.136626288218709 -0.00854232956056897 1.31000000000000 0.974633332888285 -0.136074153771862 -0.00832410978762717 1.32000000000000 0.974706666469574 -0.135669336065565 -0.00812692033021610 1.33000000000000 0.974786666234334 -0.135227799251810 -0.0105097329350413 1.34000000000000 0.974886666933696 -0.134675989657087 -0.00904439075924608 1.35000000000000 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0.979639999866486 -0.108595106323666 -0.0119864429172659 2.81999999999998 0.979606666564941 -0.108777000536710 -0.0116921036422925 2.82999999999998 0.979589999914169 -0.108867952892690 -0.0123121088826255 |
3樓2021-07-21 10:38:20
獨(dú)孤神宇
版主 (知名作家)
- 應(yīng)助: 490 (碩士)
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- 注冊(cè): 2014-11-06
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- 專業(yè): 機(jī)械動(dòng)力學(xué)
- 管轄: 計(jì)算模擬
【答案】應(yīng)助回帖
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這個(gè)可能需要企業(yè)版才能計(jì)算吧。 這個(gè)是否有可能 求解x的解析解？ ，這樣就可以直接帶入p方程擬合 Parameter fac(1:7); Variable t,lamb,pa,p; ParVariable lambv; Constant A=0.02,w=2*pi*0.1; ConstStr lambdif=A*w*cos(w*t), lambvdif=((1/3/fac7)*(fac1*((lamb/lambv)^fac2-(lambv/lamb)^(0.5*fac2))+fac3*((lamb/lambv)^fac4 -(lambv/lamb)^(0.5*fac4))+fac5*((lamb/lambv)^fac6-(lambv/lamb)^(0.5*fac6)))); //InitialODEValue t=0,p=-0.060966222; OdeFunction p'=pa+fac1*((fac2-1)*lamb^(fac2-2)*lambv^(-fac2)*lambdif-fac2*lamb^(fac2-1)*lambv^(-fac2-1)*lambvdif +(0.5*fac2+1)*lamb^(-0.5*fac2-2)*lambv^(0.5*fac2)*lambdif-0.5*fac2*lamb^(-0.5*fac2-1)*lambv^(0.5*fac2-1)*lambvdif) +fac3*((fac4-1)*lamb^(fac4-2)*lambv^(-fac4)*lambdif-fac4*lamb^(fac4-1)*lambv^(-fac4-1)*lambvdif+(0.5*fac4+1)*lamb^(-0.5*fac4-2)*lambv^(0.5*fac4)*lambdif -0.5*fac4*lamb^(-0.5*fac4-1)*lambv^(0.5*fac4-1)*lambvdif)+fac5*((fac6-1)*lamb^(fac6-2)*lambv^(-fac6)*lambdif -fac6*lamb^(fac6-1)*lambv^(-fac6-1)*lambvdif+(0.5*fac6+1)*lamb^(-0.5*fac6-2)*lambv^(0.5*fac6)*lambdif -0.5*fac6*lamb^(-0.5*fac6-1)*lambv^(0.5*fac6-1)*lambvdif); Data; 0 0.959926667 -0.218715994 -0.060966222 0.25 0.963063333 -0.200840559 -0.046836278 0.5 0.96612 -0.183553472 -0.035042256 0.75 0.969016667 -0.167289626 -0.024438988 1 0.97171 -0.152268899 -0.01706765 1.25 0.97409 -0.139075651 -0.010939712 1.5 0.976123333 -0.127862697 -0.006795087 1.75 0.977786667 -0.118729759 -0.002919842 2 0.979000001 -0.112089924 -0.001981819 2.25 0.979743333 -0.108031322 -0.001163676 2.5 0.98001 -0.106577018 -0.003491456 2.75 0.979766667 -0.107904033 -0.009723697 |
» 本帖已獲得的紅花（最新10朵）
ckm08114樓2021-07-21 20:06:35
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