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bg0east

新虫 (初入文坛)

[求助] 1stopt 微分方程数据拟合求助 已有1人参与

代码如下:
Parameter b1, b2, b3, b4;
Variable x, y;
ODEFunction y'=0.001*b3-(y/b1)^b2 *b3-(y/b1)^(b2-1)*b4/b1*b3
DataFile "CodeSheet1[A1:B27]"; //Press F2 to view data

数据见附件,多谢先!
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  • 附件 1 : data1.xls
  • 2015-10-07 19:09:29, 9 K

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月只蓝

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【答案】应助回帖

★ ★ ★ ★ ★
感谢参与,应助指数 +1
bg0east: 金币+5, ★★★★★最佳答案 2015-10-18 15:44:29
Root of Mean Square Error (RMSE): 8.08398907127184
Residual Sum of Squares (SSE): 2091.22813774216
Correlation Coef. (R): 0.998652058700909
R-Square: 0.997305934347565
Determination Coef. (DC): 0.997004327699384
F-Statistic: 2908.86039638179
Parameters Best Estimate
-------------------- -------------
b1 65726.5347698722
b2 -2.86969203064131
b3 -0.00574926776698071
b4 559.843140932705
====== Output Results =====
File: Data file - 1
No Obs. y Cal. y
1 513 499.966124334547
2 558 532.063700692123
3 607 590.036631538515
4 635 636.355901922696
5 670 676.764333806462
6 695 703.106016472069
7 723 733.137193055944
8 747 755.565582488483
9 765 776.329652868411
10 793 798.195338713362
11 810 814.256131562792
12 838 835.766754254898
13 845 848.153789626046
14 873 862.612409855305
15 884 877.225267353007
16 895 891.299648257148
17 905 902.430510407337
18 916 916.479655827076
19 933 929.862016863361
20 944 940.854808625361
21 954 949.707418242262
22 969 961.668817185868
23 976 971.55123175092
24 986 981.118733642333
25 993 991.912613342909
26 1000 1000.87160792104
27 1010 1009.57894001842
28 1010 1018.05050222379
29 1030 1027.65510194984
30 1030 1035.66336683093
31 1030 1038.28899536714
MATLAB、MS小问题、普通问题请发帖求助!时间精力有限,恕不接受无偿私信求助。
2楼2015-10-07 21:52:20
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bg0east

新虫 (初入文坛)

引用回帖:
2楼: Originally posted by 月只蓝 at 2015-10-07 21:52:20
Root of Mean Square Error (RMSE): 8.08398907127184
Residual Sum of Squares (SSE): 2091.22813774216
Correlation Coef. (R): 0.998652058700909
R-Square: 0.997305934347565
Determination Coef. (DC): 0 ...

非常感谢!能否用同样的数据再次代跑一下这个代码?非线性微分方程的参数拟合,用matlab做初值貌似很难。

Parameter c1, c2, c3, N;
Variable x, y;
ODEFunction y'=c1-c2*y^(N-1)-c3*y^N
DataFile "CodeSheet1[A1:B32]"; //Press F2 to view data
3楼2015-10-18 16:03:30
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