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ckm0811新蟲 (初入文壇)
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[求助]
1stopt高版本代跑 （微分方程與代數(shù)方程參數(shù)擬合） 已有2人參與
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7參數(shù)擬合問題，含有微分方程與代數(shù)方程，請求高版本代跑一下程序。 Parameter fac1=[1e-5,],fac2=[1e-5,],fac3=[1e-5,],fac4=[1e-5,],fac5=[,-1e-5],fac6=[,-1e-5],fac7=[1e-5,]; Variable t,lamb,lambdif,pb; ODEFunction lambv'=if(lambdif<=0,(lamb/3/fac7)*(fac1*((lamb/lambv)^(fac2-1)-(lambv/lamb)^(0.5*fac2+1))+fac3*((lamb/lambv)^(fac4-1)-(lambv/lamb)^(0.5*fac4+1))+fac5*((lamb/lambv)^(fac6-1)-(lambv/lamb)^(0.5*fac6+1))),(lamb/(0.001*3*fac7))*(fac1*((lamb/lambv)^(fac2-1)-(lambv/lamb)^(0.5*fac2+1))+fac3*((lamb/lambv)^(fac4-1)-(lambv/lamb)^(0.5*fac4+1))+fac5*((lamb/lambv)^(fac6-1)-(lambv/lamb)^(0.5*fac6+1)))); Function pb=fac1*(lamb^(fac2-1)*lambv^(-fac2)-lamb^(-0.5*fac2-1)*lambv^(0.5*fac2))+fac3*(lamb^(fac4-1)*lambv^(-fac4)-lamb^(-0.5*fac4-1)*lambv^(0.5*fac4))+fac5*(lamb^(fac6-1)*lambv^(-fac6)-lamb^(-0.5*fac6-1)*lambv^(0.5*fac6)); Data; //0.1Hz 0.00 0.960000 0.012566 0.057751 0.20 0.962433 0.012467 0.063943 0.40 0.964893 0.012172 0.063200 0.60 0.967303 0.011684 0.063611 0.80 0.969577 0.011012 0.065567 1.00 0.971710 0.010166 0.065701 1.20 0.973627 0.009160 0.065639 1.40 0.975377 0.008010 0.064222 1.60 0.976853 0.006733 0.062565 1.80 0.978063 0.005351 0.061493 2.00 0.979000 0.003883 0.058928 2.20 0.979637 0.002355 0.058219 2.40 0.979960 0.000789 0.055017 2.60 0.979960 -0.000789 0.052617 2.80 0.979660 -0.002355 0.047199 3.00 0.979037 -0.003883 0.042338 3.20 0.978137 -0.005351 0.032877 3.40 0.976940 -0.006733 0.025563 3.60 0.975463 -0.008010 0.018672 3.80 0.973743 -0.009160 0.010299 4.00 0.971830 -0.010166 0.004338 4.20 0.969690 -0.011012 -0.004050 4.40 0.967423 -0.011684 -0.010569 4.60 0.965040 -0.012172 -0.019444 4.80 0.962587 -0.012467 -0.026517 5.00 0.960073 -0.012566 -0.031025 5.20 0.957553 -0.012467 -0.039910 5.40 0.955093 -0.012172 -0.044413 5.60 0.952710 -0.011684 -0.050038 5.80 0.950440 -0.011012 -0.053758 6.00 0.948293 -0.010166 -0.059845 6.20 0.946357 -0.009160 -0.062465 6.40 0.944640 -0.008010 -0.063932 6.60 0.943153 -0.006733 -0.064208 6.80 0.941933 -0.005351 -0.066548 7.00 0.940993 -0.003883 -0.063021 7.20 0.940363 -0.002355 -0.059452 7.40 0.940043 -0.000789 -0.055989 7.60 0.940033 0.000789 -0.051224 7.80 0.940323 0.002355 -0.039363 8.00 0.940947 0.003883 -0.025688 8.20 0.941860 0.005351 -0.009293 8.40 0.943073 0.006733 0.005272 8.60 0.944540 0.008010 0.016966 8.80 0.946260 0.009160 0.028023 9.00 0.948193 0.010166 0.034484 9.20 0.950300 0.011012 0.042393 9.40 0.952567 0.011684 0.048518 9.60 0.954957 0.012172 0.050146 9.80 0.957423 0.012467 0.055289 10.00 0.960000 0.012566 0.057751 Data; //0.5Hz 0.00 0.960000 0.062831853 0.057592 0.04 0.962137 0.062336405 0.062721 0.08 0.964590 0.060857875 0.067115 0.12 0.967043 0.05841958 0.069002 0.16 0.969327 0.055059973 0.070735 0.20 0.971487 0.050832037 0.072267 0.24 0.973477 0.04580245 0.067785 0.28 0.975240 0.04005053 0.064896 0.32 0.976757 0.03366699 0.065203 0.36 0.978013 0.026752502 0.061654 0.40 0.978987 0.01941611 0.060950 0.44 0.979673 0.011773515 0.055396 0.48 0.980030 0.003945245 0.052443 0.52 0.980090 -0.003945245 0.048458 0.56 0.979813 -0.011773515 0.042921 0.60 0.979240 -0.01941611 0.029484 0.64 0.978350 -0.026752502 0.019637 0.68 0.977177 -0.03366699 0.005958 0.72 0.975753 -0.04005053 -0.008437 0.76 0.974063 -0.04580245 -0.021190 0.80 0.972140 -0.050832037 -0.033505 0.84 0.970023 -0.055059973 -0.046834 0.88 0.967757 -0.05841958 -0.059828 0.92 0.965407 -0.060857875 -0.073131 0.96 0.962903 -0.062336405 -0.084756 1.00 0.960407 -0.062831853 -0.097015 1.04 0.957857 -0.062336405 -0.108150 1.08 0.955407 -0.060857875 -0.116848 1.12 0.952977 -0.05841958 -0.126935 1.16 0.950650 -0.055059973 -0.132818 1.20 0.948500 -0.050832037 -0.140228 1.24 0.946553 -0.04580245 -0.143198 1.28 0.944793 -0.04005053 -0.147031 1.32 0.943243 -0.03366699 -0.148441 1.36 0.941980 -0.026752502 -0.146859 1.40 0.941007 -0.01941611 -0.143694 1.44 0.940333 -0.011773515 -0.137398 1.48 0.939983 -0.003945245 -0.130185 1.52 0.939920 0.003945245 -0.118369 1.56 0.940163 0.011773515 -0.100830 1.60 0.940763 0.01941611 -0.078713 1.64 0.941643 0.026752502 -0.054448 1.68 0.942843 0.03366699 -0.031340 1.72 0.944277 0.04005053 -0.009725 1.76 0.945943 0.04580245 0.004953 1.80 0.947883 0.050832037 0.017859 1.84 0.949980 0.055059973 0.027375 1.88 0.952207 0.05841958 0.037944 1.92 0.954630 0.060857875 0.044558 1.96 0.957083 0.062336405 0.050863 2.00 0.960000 0.062831853 0.057592 Data; //1Hz 0.00 0.959110 0.125664 0.101944 0.02 0.961607 0.124673 0.101015 0.04 0.964177 0.121716 0.092652 0.06 0.966597 0.116839 0.090688 0.08 0.968997 0.110120 0.087186 0.10 0.971203 0.101664 0.081292 0.12 0.973220 0.091605 0.074067 0.14 0.975063 0.080101 0.072352 0.16 0.976643 0.067334 0.064963 0.18 0.977983 0.053505 0.062168 0.20 0.979003 0.038832 0.059446 0.22 0.979740 0.023547 0.056947 0.24 0.980190 0.007890 0.053218 0.26 0.980303 -0.007890 0.051380 0.28 0.980107 -0.023547 0.049209 0.30 0.979583 -0.038832 0.050486 0.32 0.978767 -0.053505 0.045529 0.34 0.977637 -0.067334 0.042285 0.36 0.976253 -0.080101 0.040140 0.38 0.974577 -0.091605 0.040742 0.40 0.972660 -0.101664 0.028174 0.42 0.970597 -0.110120 0.015944 0.44 0.968337 -0.116839 -0.000255 0.46 0.965933 -0.121716 -0.015326 0.48 0.963463 -0.124673 -0.032873 0.50 0.960933 -0.125664 -0.051744 0.52 0.958353 -0.124673 -0.068495 0.54 0.955860 -0.121716 -0.084269 0.56 0.953367 -0.116839 -0.097367 0.58 0.951017 -0.110120 -0.107719 0.60 0.948813 -0.101664 -0.117079 0.62 0.946750 -0.091605 -0.120800 0.64 0.944930 -0.080101 -0.128407 0.66 0.943330 -0.067334 -0.127666 0.68 0.942017 -0.053505 -0.125147 0.70 0.940943 -0.038832 -0.120878 0.72 0.940243 -0.023547 -0.112602 0.74 0.939793 -0.007890 -0.102641 0.76 0.939683 0.007890 -0.090411 0.78 0.939893 0.023547 -0.066376 0.80 0.940393 0.038832 -0.039621 0.82 0.941243 0.053505 -0.011216 0.84 0.942383 0.067334 0.013463 0.86 0.943800 0.080101 0.032020 0.88 0.945480 0.091605 0.047094 0.90 0.947350 0.101664 0.060936 0.92 0.949430 0.110120 0.076479 0.94 0.951703 0.116839 0.086050 0.96 0.954087 0.121716 0.093122 0.98 0.956563 0.124673 0.102631 1.00 0.959110 0.125664 0.101944 Data; //2Hz 0.00 0.957683 0.251327 0.103554 0.02 0.962873 0.243431 0.099815 0.04 0.967843 0.220240 0.089030 0.06 0.972333 0.183210 0.079861 0.08 0.976073 0.134668 0.066694 0.10 0.978863 0.077664 0.058112 0.12 0.980390 0.015781 0.053472 0.14 0.980647 -0.047094 0.048643 0.16 0.979643 -0.107010 0.043628 0.18 0.977403 -0.160202 0.036629 0.20 0.974053 -0.203328 0.016363 0.22 0.969813 -0.233678 -0.030502 0.24 0.964933 -0.249346 -0.082703 0.26 0.959757 -0.249346 -0.129067 0.28 0.954600 -0.233678 -0.165265 0.30 0.949830 -0.203328 -0.192737 0.32 0.945690 -0.160202 -0.204648 0.34 0.942393 -0.107010 -0.208398 0.36 0.940157 -0.047094 -0.197350 0.38 0.939237 0.015781 -0.169471 0.40 0.939640 0.077664 -0.110091 0.42 0.941337 0.134668 -0.036682 0.44 0.944197 0.183210 0.015458 0.46 0.948013 0.220240 0.052942 0.48 0.952623 0.243431 0.084528 0.50 0.957683 0.251327 0.103554 Data; //5Hz 0.00 0.953477 0.628319 0.135643 0.02 0.966487 0.508320 0.098394 0.04 0.976950 0.194161 0.063313 0.06 0.981010 -0.194161 0.047463 0.08 0.977333 -0.508320 0.039043 0.10 0.966537 -0.628319 -0.039222 0.12 0.953520 -0.508320 -0.220273 0.14 0.943087 -0.194161 -0.271013 0.16 0.938930 0.194161 -0.210556 0.18 0.942740 0.508320 0.020174 0.20 0.953477 0.628319 0.135643 |
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lambv'=if(lambdif<=0,(lamb/3/fac7)*(fac1*((lamb/lambv)^(fac2-1)-(lambv/lamb)^(0.5*fac2+1))+fac3*((lamb/lambv)^(fac4-1)-(lambv/lamb)^(0.5*fac4+1))+fac5*((lamb/lambv)^(fac6-1)-(lambv/lamb)^(0.5*fac6+1))),(lamb/(0.001*3*fac7))*(fac1*((lamb/lambv)^(fac2-1)-(lambv/lamb)^(0.5*fac2+1))+fac3*((lamb/lambv)^(fac4-1)-(lambv/lamb)^(0.5*fac4+1))+fac5*((lamb/lambv)^(fac6-1)-(lambv/lamb)^(0.5*fac6+1)))); 這個式子中，等號前的 lambv' 和等號后的 lambv 有什么區(qū)別？ |
4樓2021-08-18 08:07:39
ckm0811
新蟲 (初入文壇)
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2樓2021-08-16 18:20:10
dingd
鐵桿木蟲 (職業(yè)作家)
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【答案】應(yīng)助回帖
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感謝參與，應(yīng)助指數(shù) +1
獨孤神宇: 金幣+5, 鼓勵交流 2021-08-17 19:41:16
感謝參與，應(yīng)助指數(shù) +1
獨孤神宇: 金幣+5, 鼓勵交流 2021-08-17 19:41:16
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計算很費時間，也不知道樓主設(shè)定的參數(shù)范圍是否合理，下面結(jié)果參考下，有時間自己計算或許有更好的結(jié)果： 計算用時(時:分:秒:微秒): 00:33:45:772 均方差(RMSE): 0.0495089955802209 殘差平方和(SSR): 0.453461019022031 相關(guān)系數(shù)(R): 0.909905962406545 相關(guān)系數(shù)之平方(R^2): 0.827928860422981 修正R平方(Adj. R^2): 0.816833445348956 確定系數(shù)(DC): 0.494630751059566 F統(tǒng)計(F-Statistic): -0.0452805144567521 參數(shù) 最佳估算 -------------------- ------------- fac1 1.01254846648036E-5 fac2 1.07296406274351E-5 fac3 0.286048998561719 fac4 8.89086313048348 fac5 -2.08243476928144E-5 fac6 -2.45497878879962E-5 fac7 107.530424216471 lambv 初值 (數(shù)據(jù)文件-1) 0.451633585283195 lambv 初值 (數(shù)據(jù)文件-2) 0.92664566345588 lambv 初值 (數(shù)據(jù)文件-3) 0.923788301682772 lambv 初值 (數(shù)據(jù)文件-4) 0.955286830686244 lambv 初值 (數(shù)據(jù)文件-5) 0.972523739080962 ====== 結(jié)果輸出 ====== 文件: 數(shù)據(jù)文件-1 No t 目標 pb 計算 pb 1 0.2 0.063943 0.0627235820485261 2 0.4 0.0632 0.00646253000540754 3 0.6 0.063611 0.00156611706497645 4 0.8 0.065567 0.00105921527521241 5 1 0.065701 0.00095368444589652 6 1.2 0.065639 0.00085592351193353 7 1.4 0.064222 0.000778839835616696 8 1.6 0.062565 0.000658251865379009 9 1.8 0.061493 0.000541653484650114 10 2 0.058928 0.000423191745924583 11 2.2 0.058219 0.000294168942682817 12 2.4 0.055017 0.000159422910405084 13 2.6 0.052617 0.000136773366862757 14 2.8 0.047199 -0.00105268803396297 15 3 0.042338 -0.00351793879116287 16 3.2 0.032877 -0.00707040873424754 17 3.4 0.025563 -0.0117828674508465 18 3.6 0.018672 -0.0175802986889611 19 3.8 0.010299 -0.0243093426264643 20 4 0.004338 -0.0317669097854501 21 4.2 -0.00405 -0.0400812355343877 22 4.4 -0.010569 -0.0488560952075601 23 4.6 -0.019444 -0.0580469902999115 24 4.8 -0.026517 -0.0674742283975919 25 5 -0.031025 -0.0771040259784608 26 5.2 -0.03991 -0.0867247216012876 27 5.4 -0.044413 -0.0960835875455815 28 5.6 -0.050038 -0.105118939887549 29 5.8 -0.053758 -0.113695200019873 30 6 -0.059845 -0.121777294447135 31 6.2 -0.062465 -0.1290271491769 32 6.4 -0.063932 -0.135416438972139 33 6.6 -0.064208 -0.140904395383305 34 6.8 -0.066548 -0.145348785980609 35 7 -0.063021 -0.148700162618943 36 7.2 -0.059452 -0.150842944454711 37 7.4 -0.055989 -0.151778124582847 38 7.6 -0.051224 -0.01652565610898 39 7.8 -0.039363 -0.00144911289491686 40 8 -0.025688 0.000135247971510671 41 8.2 -0.009293 0.000404872736131531 42 8.4 0.005272 0.000555403032197519 43 8.6 0.016966 0.000674209041159786 44 8.8 0.028023 0.000788419021982872 45 9 0.034484 0.000889201844346569 46 9.2 0.042393 0.000966512277130337 47 9.4 0.048518 0.00103485709553578 48 9.6 0.050146 0.00108639436658552 49 9.8 0.055289 0.00111672335905731 50 10 0.057751 0.00115869277957147 文件: 數(shù)據(jù)文件-2 No t 目標 pb 計算 pb 1 0.04 0.062721 0.0946147992848782 2 0.08 0.067115 0.0630037940241945 3 0.12 0.069002 0.0448355069469828 4 0.16 0.070735 0.0335492340759896 5 0.2 0.072267 0.0263892663797244 6 0.24 0.067785 0.0215614871861531 7 0.28 0.064896 0.0179897110362559 8 0.32 0.065203 0.0151338228900227 9 0.36 0.061654 0.0126788857000415 10 0.4 0.06095 0.0104175136701096 11 0.44 0.055396 0.0082617212577555 12 0.48 0.052443 0.0060648242576651 13 0.52 0.048458 0.00599444700667593 14 0.56 0.042921 0.00488635992644049 15 0.6 0.029484 0.0025991789799334 16 0.64 0.019637 -0.000947071849688621 17 0.68 0.005958 -0.00561185498777706 18 0.72 -0.008437 -0.0112623864009205 19 0.76 -0.02119 -0.0179522832922644 20 0.8 -0.033505 -0.0255445468958885 21 0.84 -0.046834 -0.033880447627889 22 0.88 -0.059828 -0.0427787065916436 23 0.92 -0.073131 -0.0519828167083645 24 0.96 -0.084756 -0.0617663608696495 25 1 -0.097015 -0.0714961481636833 26 1.04 -0.10815 -0.0814167422624327 27 1.08 -0.116848 -0.090930808088205 28 1.12 -0.126935 -0.100353676097057 29 1.16 -0.132818 -0.109365876637923 30 1.2 -0.140228 -0.117682418699296 31 1.24 -0.143198 -0.125205345829746 32 1.28 -0.147031 -0.131998385368345 33 1.32 -0.148441 -0.137973459362134 34 1.36 -0.146859 -0.142831078281293 35 1.4 -0.143694 -0.146559670383817 36 1.44 -0.137398 -0.149123747180655 37 1.48 -0.130185 -0.150425655833094 38 1.52 -0.118369 -0.0993213281073989 39 1.56 -0.10083 -0.0635879705228149 40 1.6 -0.078713 -0.0389312062381749 41 1.64 -0.054448 -0.0221528861378749 42 1.68 -0.03134 -0.0105377068227763 43 1.72 -0.009725 -0.00254866233203608 44 1.76 0.004953 0.00309949161446674 45 1.8 0.017859 0.00737215909938563 46 1.84 0.027375 0.0104411466004864 47 1.88 0.037944 0.0125000759856942 48 1.92 0.044558 0.0144615073672508 49 1.96 0.050863 0.0155256109286916 50 2 0.057592 0.0176108786266836 文件: 數(shù)據(jù)文件-3 No t 目標 pb 計算 pb 1 0.02 0.101015 0.132654995221037 2 0.04 0.092652 0.110298802223814 3 0.06 0.090688 0.0929646295885082 4 0.08 0.087186 0.0799575512153793 5 0.1 0.081292 0.0693909086463457 6 0.12 0.074067 0.0606559664328367 7 0.14 0.072352 0.05334763588412 8 0.16 0.064963 0.0468230409453347 9 0.18 0.062168 0.040973924273115 10 0.2 0.059446 0.0353791710462901 11 0.22 0.056947 0.0301026095015497 12 0.24 0.053218 0.0250575552329378 13 0.26 0.05138 0.0251674018911858 14 0.28 0.049209 0.0243655627273676 15 0.3 0.050486 0.0222336664685919 16 0.32 0.045529 0.0189214195432357 17 0.34 0.042285 0.014345001696673 18 0.36 0.04014 0.00875354948417075 19 0.38 0.040742 0.00200075355986696 20 0.4 0.028174 -0.00570035751252772 21 0.42 0.015944 -0.0139628075703394 22 0.44 -0.000255 -0.0229866025636025 23 0.46 -0.015326 -0.0325561823056165 24 0.48 -0.032873 -0.0423598255848552 25 0.5 -0.051744 -0.0523745541888915 26 0.52 -0.068495 -0.0625622258501379 27 0.54 -0.084269 -0.0723847749226578 28 0.56 -0.097367 -0.0821895541178059 29 0.58 -0.107719 -0.091417272068946 30 0.6 -0.117079 -0.100060643452097 31 0.62 -0.1208 -0.108142872330871 32 0.64 -0.128407 -0.115266212914614 33 0.66 -0.127666 -0.121523166344025 34 0.68 -0.125147 -0.126652005522404 35 0.7 -0.120878 -0.130841852830688 36 0.72 -0.112602 -0.13356291013483 37 0.74 -0.102641 -0.135302082607774 38 0.76 -0.090411 -0.110340729026219 39 0.78 -0.066376 -0.088396952462021 40 0.8 -0.039621 -0.0694027754728905 41 0.82 -0.011216 -0.0527193662819628 42 0.84 0.013463 -0.0382031240076955 43 0.86 0.03202 -0.0255542156233595 44 0.88 0.047094 -0.0145134464002296 45 0.9 0.060936 -0.00505930729303474 46 0.92 0.076479 0.003160128499167 47 0.94 0.08605 0.0103087461625105 48 0.96 0.093122 0.0163018339469903 49 0.98 0.102631 0.021298446969059 50 1 0.101944 0.0254243992669727 文件: 數(shù)據(jù)文件-4 No t 目標 pb 計算 pb 1 0.02 0.099815 0.0249938602394822 2 0.04 0.08903 0.0362477257843847 3 0.06 0.079861 0.0434393972397149 4 0.08 0.066694 0.0462246283651297 5 0.1 0.058112 0.0453273028378734 6 0.12 0.053472 0.0403392185226596 7 0.14 0.048643 0.0410587046413378 8 0.16 0.043628 0.0369173345581378 9 0.18 0.036629 0.0277190459885104 10 0.2 0.016363 0.0140372566049685 11 0.22 -0.030502 -0.00316751277523413 12 0.24 -0.082703 -0.0228350590851213 13 0.26 -0.129067 -0.0435623757494601 14 0.28 -0.165265 -0.0641034130327071 15 0.3 -0.192737 -0.0830264770473762 16 0.32 -0.204648 -0.0994059691320063 17 0.34 -0.208398 -0.112427112575224 18 0.36 -0.19735 -0.121244564464212 19 0.38 -0.169471 -0.10135367343319 20 0.4 -0.110091 -0.0803523636093328 21 0.42 -0.036682 -0.0587651925747703 22 0.44 0.015458 -0.0372386917923555 23 0.46 0.052942 -0.0166020545489229 24 0.48 0.084528 0.00238922277897762 25 0.5 0.103554 0.0190173377906893 文件: 數(shù)據(jù)文件-5 No t 目標 pb 計算 pb 1 0.02 0.098394 -0.0192474838395384 2 0.04 0.063313 0.0183935545163442 3 0.06 0.047463 0.0346054449370822 4 0.08 0.039043 0.0196053654096042 5 0.1 -0.039222 -0.0239116624539082 6 0.12 -0.220273 -0.0756364740518034 7 0.14 -0.271013 -0.116767151536529 8 0.16 -0.210556 -0.108189529369281 9 0.18 0.020174 -0.0745205350857752 10 0.2 0.135643 -0.0242572692209939 |
3樓2021-08-17 12:13:53
ckm0811
新蟲 (初入文壇)
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5樓2021-08-19 11:12:36
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