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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)兩個式子（一個微分方程，一個代數(shù)方程）擬合7個未知參數(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)上面兩個式子擬合fac(1)~fac(7)，共計7個參數(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)上面兩個式子擬合fac(1)~fac(7)，共計7個參數(shù)。lambv為中間變量 data; //t,lamb,pa,p |
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嘗試用OpenLu（可從www.forcal.net下載）求解，與大家探討。 使用 1樓 給出的第一種公式。未知中間變量lambv用解方程法求解，但不知這種方法有沒有問題？ 仍類似于 4樓 使用部分?jǐn)?shù)據(jù)擬合，以減少運行時間。 Lu腳本代碼： !!!using["luopt","math"]; //使用命名空間 g(lambv :: fac1,fac2,fac3,fac4,fac5,fac6,fac7,lamb)= ((1.0/3/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))))-lambv; f(t,_lamb,lambv,pp : x : fac1,fac2,fac3,fac4,fac5,fac6,fac7,lamb) = lamb=_lamb, x=lamb, if{pqrt[@g,&x,1e-6]<=0, return(1)}, //連分式法解方程，返回迭代次數(shù)，迭代次數(shù)<=0，求解失敗 lambv=x, 0; //成功返回0 pp(pa,p,lamb,lambv :: fac1,fac2,fac3,fac4,fac5,fac6,fac7) = (pa+fac1*((lamb/lambv)^fac2/lamb-(lambv/lamb)^(fac2*0.5)/lamb)+fac3*((lamb/lambv)^fac4/lamb-(lambv/lamb)^(fac4*0.5)/lamb)+fac5*((lamb/lambv)^fac6/lamb-(lambv/lamb)^(fac6*0.5)/lamb)) - p; 目標(biāo)函數(shù)(_fac1,_fac2,_fac3,_fac4,_fac5,_fac6,_fac7 : i,s,tf : t_A, t_lamb, t_pa, t_p, max, fac1,fac2,fac3,fac4,fac5,fac6,fac7,la)= { fac1=_fac1, fac2=_fac2, fac3=_fac3, fac4=_fac4, fac5=_fac5, fac6=_fac6, fac7=_fac7, //傳遞優(yōu)化變量 la[0]=t_lamb[0,0], //最后一個參數(shù)50表示gsl_ode函數(shù)在計算時,最多循環(huán)計算50次,這樣可以提高速度 tf=gsl_ode[@f, nil, 0.0, t_A, la, 1e-6, 1e-6, gsl_rkf45, 1e-6,50], i=-1, s=0, while{++i<max, s=s+pp[t_pa(i,0),t_p(i,0),t_lamb(i,0),tf(i,1)]^2.0 }, s }; main(: tArray : t_A, t_lamb, t_pa, t_p, max, la)= { tArray=matrix{ //存放實驗數(shù)據(jù)//t,lamb,pa,p "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" }, len[tArray,0,&max], t_A=tArray(all:0), t_lamb=tArray(all:1), t_pa=tArray(all:2), t_p=tArray(all:3), //用len函數(shù)取矩陣的行數(shù)，t_A等取矩陣的列 la=ra1[0], //預(yù)先申請數(shù)組 Opt1[@目標(biāo)函數(shù), optwaysimdeep, optwayconfra] //Opt1函數(shù)全局優(yōu)化 }; 微分方程+解方程，耗時長，未多次求解，故結(jié)果不是最優(yōu)的： 1.953313036693719 -2.867510001653266e-002 -0.2767401112856916 -3.629687916321768 -0.2763230915848823 7.260677042953397 -0.3201568717886613 2.502852593689372e-002 |
7樓2021-08-09 08:09:41
獨孤神宇
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2樓2021-07-20 22:43:35
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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)上面兩個式子擬合fac(1)~fac(7)，共計7個參數(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 0.290000000000000 0.963550000190735 -0.198079514508925 -0.0448494356201968 0.300000000000000 0.963679999907811 -0.197342536339294 -0.0449833927792348 0.310000000000000 0.963783333698909 -0.196756897310271 -0.0426126775765766 0.320000000000000 0.963916666507721 -0.196001460068449 -0.0441506994685100 0.330000000000000 0.964036666949590 -0.195321772871168 -0.0425706893672636 0.340000000000000 0.964173332850138 -0.194547935703942 -0.0438506779501000 0.350000000000000 0.964290000597636 -0.193887538472069 -0.0417353759771666 0.360000000000000 0.964416666428248 -0.193170761056756 -0.0438396124512487 0.370000000000000 0.964553333918254 -0.192397635767639 -0.0429577403349063 0.380000000000000 0.964653333822886 -0.191832102284730 -0.0409461894762005 0.390000000000000 0.964793333609899 -0.191040588507138 -0.0417681424238785 0.400000000000000 0.964893333117167 -0.190475389506915 -0.0403640892202786 0.410000000000000 0.965033333698908 -0.189684336018058 -0.0395319429176814 0.420000000000000 0.965153333346049 -0.189006510522505 -0.0396276800113452 0.430000000000000 0.965280000766118 -0.188291237369717 -0.0385797461602765 0.440000000000000 0.965410000085831 -0.187557379585116 -0.0385647679180981 0.450000000000000 0.965513333479563 -0.186974219511924 -0.0377487349326589 0.460000000000000 0.965636665821075 -0.186278388275524 -0.0369432895124589 0.470000000000000 0.965739999214808 -0.185695550701227 -0.0385068828949284 0.480000000000000 0.965873333215713 -0.184943715898085 -0.0363684893042258 0.490000000000000 0.965996665954590 -0.184248493064694 -0.0350844423645908 0.500000000000000 0.966119999885559 -0.183553472396837 -0.0350422560310213 0.510000000000000 0.966236666838328 -0.182896214094321 -0.0357082890947156 0.520000000000000 0.966343333721161 -0.182295455797467 -0.0344226096619861 0.530000000000000 0.966483333508174 -0.181507199906605 -0.0344232075748849 0.540000000000000 0.966569999456406 -0.181019369758473 -0.0337612557794114 0.550000000000000 0.966713333129883 -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 -0.0274131745724031 0.690000000000000 0.968336667617162 -0.171097370069903 -0.0267161701869239 0.700000000000000 0.968463333050410 -0.170387617041473 -0.0258419432819456 0.710000000000000 0.968573333422343 -0.169771420474682 -0.0258780128939212 0.720000000000000 0.968689999580383 -0.169118062356982 -0.0272440635226749 0.730000000000000 0.968783333698909 -0.168595501500778 -0.0253793840193742 0.740000000000000 0.968916666905085 -0.167849196856469 -0.0264425615317059 0.750000000000000 0.969016666809718 -0.167289625665833 -0.0244389879012050 0.760000000000001 0.969113333225250 -0.166748835804261 -0.0231584760478411 0.770000000000001 0.969256667693456 -0.165947198113151 -0.0226372159513464 0.780000000000001 0.969343333641688 -0.165462628897229 -0.0234939984434984 0.790000000000001 0.969470000267029 -0.164754588351801 -0.0222578608226590 0.800000000000001 0.969576666355133 -0.164158513908713 -0.0236720328297027 0.810000000000001 0.969686666329702 -0.163543968928945 -0.0237222206510110 0.820000000000001 0.969803333282471 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-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
獨孤神宇
版主 (知名作家)
- 應(yīng)助: 490 (碩士)
- 貴賓: 0.008
- 金幣: 31016.3
- 散金: 802
- 紅花: 122
- 沙發(fā): 1
- 帖子: 5600
- 在線: 856.5小時
- 蟲號: 3522474
- 注冊: 2014-11-06
- 性別: GG
- 專業(yè): 機械動力學(xué)
- 管轄: 計算模擬
【答案】應(yīng)助回帖
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這個可能需要企業(yè)版才能計算吧。 這個是否有可能 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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[考研] 291求調(diào)劑 +3 | 咕嚕咕嚕123123 2026-03-02 | 4/200 |
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[考研] 290求調(diào)劑 +9 | ErMiao1020 2026-03-02 | 9/450 |
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[考研] 化工335求調(diào)劑 +5 | 摸摸貓貓頭 2026-03-02 | 5/250 |
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[考研] 一志愿山東大學(xué)材料與化工325求調(diào)劑 +5 | 半截的詩0927 2026-03-02 | 5/250 |
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[考研] 一志愿華南理工大學(xué)材料與化工326分，求調(diào)劑 +3 | wujinrui1 2026-02-28 | 3/150 |
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[考研] 303求調(diào)劑 +5 | 今夏不夏 2026-03-01 | 5/250 |
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[基金申請] 此成果不能導(dǎo)入原因：元數(shù)據(jù)必填信息不完整，可 進行補充。 +4 | Kittylucky 2026-03-02 | 5/250 |
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[考研] 化工專碩342，一志愿大連理工大學(xué)，求調(diào)劑 +6 | kyf化工 2026-02-28 | 7/350 |
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[考研] 322求調(diào)劑 +3 | 熊境喆 2026-03-01 | 3/150 |
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[碩博家園] 博士自薦 +7 | 科研狗111 2026-02-26 | 11/550 |
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[考研] 272求調(diào)劑 +6 | 田智友 2026-02-28 | 6/300 |
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[考研] 311求調(diào)劑 +6 | 亭亭亭01 2026-03-01 | 6/300 |
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[考研]
 尋找調(diào)劑
+4
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LYidhsjabdj 2026-02-28 | 4/200 |
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