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[求助] 求助：以下非線性擬合方程可以用1stopt求解么？用什么方法

以下非線性擬合方程可以用1stopt求解么？用什么方法
0.07272703=-(m*0.17809/(n*0.17809^0.5+1))*8.314*298.15*(ln(0.17809)-0.784*(1.7321*0.17809^0.5/(1+2.0785*0.17809^0.5)+1.6667*ln(1+2.0785*0.17809^0.5))+2.6667*0.17809*(c+d*(1+(-1-3.464*0.17809^0.5+6*0.17809)*e0.17809p(-3.464*0.17809^0.5))/(12*0.17809))+2.8289*0.17809^2*e)+0.07214;
      0.07319177=-(m*0.36061/(n*0.36061^0.5+1))*8.314*298.15*(ln(0.36061)-0.784*(1.7321*0.36061^0.5/(1+2.0785*0.36061^0.5)+1.6667*ln(1+2.0785*0.36061^0.5))+2.6667*0.36061*(c+d*(1+(-1-3.464*0.36061^0.5+6*0.36061)*e0.36061p(-3.464*0.36061^0.5))/(12*0.36061))+2.8289*0.36061^2*e)+0.07214;
      0.07391741=-(m*0.53672/(n*0.53672^0.5+1))*8.314*298.15*(ln(0.53672)-0.784*(1.7321*0.53672^0.5/(1+2.0785*0.53672^0.5)+1.6667*ln(1+2.0785*0.53672^0.5))+2.6667*0.53672*(c+d*(1+(-1-3.464*0.53672^0.5+6*0.53672)*e0.53672p(-3.464*0.53672^0.5))/(12*0.53672))+2.8289*0.53672^2*e)+0.07214;
      0.07451667=-(m*0.72049/(n*0.72049^0.5+1))*8.314*298.15*(ln(0.72049)-0.784*(1.7321*0.72049^0.5/(1+2.0785*0.72049^0.5)+1.6667*ln(1+2.0785*0.72049^0.5))+2.6667*0.72049*(c+d*(1+(-1-3.464*0.72049^0.5+6*0.72049)*e0.72049p(-3.464*0.72049^0.5))/(12*0.72049))+2.8289*0.72049^2*e)+0.07214;
      0.07521378=-(m*0.92046/(n*0.92046^0.5+1))*8.314*298.15*(ln(0.92046)-0.784*(1.7321*0.92046^0.5/(1+2.0785*0.92046^0.5)+1.6667*ln(1+2.0785*0.92046^0.5))+2.6667*0.92046*(c+d*(1+(-1-3.464*0.92046^0.5+6*0.92046)*e0.92046p(-3.464*0.92046^0.5))/(12*0.92046))+2.8289*0.92046^2*e)+0.07214;
      0.07661342=(m*1.3003/(n*1.3003^0.5+1))*8.314*298.15*(ln(1.3003)-0.784*(1.7321*1.3003^0.5/(1+2.0785*1.3003^0.5)+1.6667*ln(1+2.0785*1.3003^0.5))+2.6667*1.3003*(c+d*(1+(-1-3.464*1.3003^0.5+6*1.3003)*e1.3003p(-3.464*1.3003^0.5))/(12*1.3003))+2.8289*1.3003^2*e)+0.07214;
      0.07871152=(m*1.67471/(n*1.67471^0.5+1))*8.314*298.15*(ln(1.67471)-0.784*(1.7321*1.67471^0.5/(1+2.0785*1.67471^0.5)+1.6667*ln(1+2.0785*1.67471^0.5))+2.6667*1.67471*(c+d*(1+(-1-3.464*1.67471^0.5+6*1.67471)*e1.67471p(-3.464*1.67471^0.5))/(12*1.67471))+2.8289*1.67471^2*e)+0.07214;
      0.07934748=(m*1.86291/(n*1.86291^0.5+1))*8.314*298.15*(ln(1.86291)-0.784*(1.7321*1.86291^0.5/(1+2.0785*1.86291^0.5)+1.6667*ln(1+2.0785*1.86291^0.5))+2.6667*1.86291*(c+d*(1+(-1-3.464*1.86291^0.5+6*1.86291)*e1.86291p(-3.464*1.86291^0.5))/(12*1.86291))+2.8289*1.86291^2*e)+0.07214;
      0.08119555=(m*2.42891/(n*2.42891^0.5+1))*8.314*298.15*(ln(2.42891)-0.784*(1.7321*2.42891^0.5/(1+2.0785*2.42891^0.5)+1.6667*ln(1+2.0785*2.42891^0.5))+2.6667*2.42891*(c+d*(1+(-1-3.464*2.42891^0.5+6*2.42891)*e2.42891p(-3.464*2.42891^0.5))/(12*2.42891))+2.8289*2.42891^2*e)+0.07214;
      0.08388612=(m*2.94245/(n*2.94245^0.5+1))*8.314*298.15*(ln(2.94245)-0.784*(1.7321*2.94245^0.5/(1+2.0785*2.94245^0.5)+1.6667*ln(1+2.0785*2.94245^0.5))+2.6667*2.94245*(c+d*(1+(-1-3.464*2.94245^0.5+6*2.94245)*e2.94245p(-3.464*2.94245^0.5))/(12*2.94245))+2.8289*2.94245^2*e)+0.07214;
      0.08544611=(m*3.49978/(n*3.49978^0.5+1))*8.314*298.15*(ln(3.49978)-0.784*(1.7321*3.49978^0.5/(1+2.0785*3.49978^0.5)+1.6667*ln(1+2.0785*3.49978^0.5))+2.6667*3.49978*(c+d*(1+(-1-3.464*3.49978^0.5+6*3.49978)*e3.49978p(-3.464*3.49978^0.5))/(12*3.49978))+2.8289*3.49978^2*e)+0.07214;
      0.08798993=(m*4.05405/(n*4.05405^0.5+1))*8.314*298.15*(ln(4.05405)-0.784*(1.7321*4.05405^0.5/(1+2.0785*4.05405^0.5)+1.6667*ln(1+2.0785*4.05405^0.5))+2.6667*4.05405*(c+d*(1+(-1-3.464*4.05405^0.5+6*4.05405)*e4.05405p(-3.464*4.05405^0.5))/(12*4.05405))+2.8289*4.05405^2*e)+0.07214;
即x<1
function y=-(m*X/(n*X^0.5+1))*8.314*298.15*(ln(x)-0.784*(1.7321*x^0.5/(1+2.0785*x^0.5)+1.6667*ln(1+2.0785*x^0.5))+2.6667*x*(c+d*(1+(-1-3.464*x^0.5+6*x)*exp(-3.464*x^0.5))/(12*x))+2.8289*x^2*e)+0.07214;
x>1
y=(m*X/(n*X^0.5+1))*8.314*298.15*(ln(x)-0.784*(1.7321*x^0.5/(1+2.0785*x^0.5)+1.6667*ln(1+2.0785*x^0.5))+2.6667*x*(c+d*(1+(-1-3.464*x^0.5+6*x)*exp(-3.464*x^0.5))/(12*x))+2.8289*x^2*e)+0.07214;
data;
0.17809       0.07272703
0.36061       0.07319177
0.53672       0.07391741
0.72049    0.07451667
0.92046       0.07521378
1.3003       0.07661342
  1.67471    0.07871152
1.86291       0.07934748
  2.42891    0.08119555
2.94245       0.08388612
3.49978       0.08544611
4.05405       0.08798993
如果1stopt解不了用matlab應(yīng)該怎么解？
求助求助�。。。》浅８兄x
Parameters c,d,e;
Variable x1,x2,y1,y2 ;
function y1=(m*X1/(n*X1^0.5+1))*8.314*298.15*(ln(x1)-0.784*(1.7321*x1^0.5/(1+2.0785*x1^0.5)+1.6667*ln(1+2.0785*x1^0.5))+2.6667*x1*(c+d*(1+(-1-3.464*x1^0.5+6*x1)*exp(-3.464*x1^0.5))/(12*x1))+2.8289*x1^2*e)+0.07214;
      y2=-(m*X2/(n*X2^0.5+1))*8.314*298.15*(ln(x2)-0.784*(1.7321*x2^0.5/(1+2.0785*x2^0.5)+1.6667*ln(1+2.0785*x2^0.5))+2.6667*x2*(c+d*(1+(-1-3.464*x2^0.5+6*x2)*exp(-3.464*x2^0.5))/(12*x2))+2.8289*x2^2*e)+0.07214;
Data;
//x1 y1 x2 y2
0.17809       0.07272703                   1.3003       0.07661342
0.36061       0.07319177                   1.67471    0.07871152
0.53672       0.07391741                   1.86291       0.07934748
0.72049    0.07451667                   2.42891    0.08119555
0.92046       0.07521378                   2.94245       0.08388612
                                                            3.49978       0.08544611
                                                            4.05405       0.08798993
求教這個(gè)樣編寫對(duì)么？為什么出來(lái)的圖和y對(duì)不上呢？

[ Last edited by hanmei98232 on 2014-3-15 at 13:46 ]

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1樓 2014-03-15 12:55:36

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【答案】應(yīng)助回帖

感謝參與，應(yīng)助指數(shù) +1

1stopt軟件擬合、解方程的標(biāo)準(zhǔn)代碼參見(jiàn)附件。

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附件 1 : 1stOpt使用手冊(cè).pdf

2014-03-15 14:17:42, 1.67 M

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2樓2014-03-15 14:18:20

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引用回帖:

2樓: Originally posted by 月只藍(lán) at 2014-03-15 14:18:20
1stopt軟件擬合、解方程的標(biāo)準(zhǔn)代碼參見(jiàn)附件。

使用手冊(cè)我有也看了程序發(fā)上去了但是擬合不出來(lái)啊不知道應(yīng)該怎么辦

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3樓2014-03-15 14:43:14

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hanmei98232: 金幣+5, ★有幫助, 雖然沒(méi)有解答還是謝謝你 2014-03-19 09:49:10

引用回帖:

3樓: Originally posted by hanmei98232 at 2014-03-15 14:43:14
使用手冊(cè)我有也看了程序發(fā)上去了但是擬合不出來(lái)啊不知道應(yīng)該怎么辦...

共享參數(shù)擬合么？你找本版的實(shí)習(xí)版主，請(qǐng)他幫你做

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4樓2014-03-15 14:45:56

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引用回帖:

3樓: Originally posted by hanmei98232 at 2014-03-15 14:43:14
使用手冊(cè)我有也看了程序發(fā)上去了但是擬合不出來(lái)啊不知道應(yīng)該怎么辦...

高版本的1stopt可以做共享參數(shù)擬合。

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5樓2014-03-15 14:47:20

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0.07272703=-(m*0.17809/(n*0.17809^0.5+1))*8.314*298.15*(ln(0.17809)-0.784*(1.7321*0.17809^0.5/(1+2.0785*0.17809^0.5)+1.6667*ln(1+2.0785*0.17809^0.5))+2.6667*0.17809*(c+d*(1+(-1-3.464*0.17809^0.5+6*0.17809)*e0.17809p(-3.464*0.17809^0.5))/(12*0.17809))+2.8289*0.17809^2*e)+0.07214;
      0.07319177=-(m*0.36061/(n*0.36061^0.5+1))*8.314*298.15*(ln(0.36061)-0.784*(1.7321*0.36061^0.5/(1+2.0785*0.36061^0.5)+1.6667*ln(1+2.0785*0.36061^0.5))+2.6667*0.36061*(c+d*(1+(-1-3.464*0.36061^0.5+6*0.36061)*e0.36061p(-3.464*0.36061^0.5))/(12*0.36061))+2.8289*0.36061^2*e)+0.07214;
      0.07391741=-(m*0.53672/(n*0.53672^0.5+1))*8.314*298.15*(ln(0.53672)-0.784*(1.7321*0.53672^0.5/(1+2.0785*0.53672^0.5)+1.6667*ln(1+2.0785*0.53672^0.5))+2.6667*0.53672*(c+d*(1+(-1-3.464*0.53672^0.5+6*0.53672)*e0.53672p(-3.464*0.53672^0.5))/(12*0.53672))+2.8289*0.53672^2*e)+0.07214;
      0.07451667=-(m*0.72049/(n*0.72049^0.5+1))*8.314*298.15*(ln(0.72049)-0.784*(1.7321*0.72049^0.5/(1+2.0785*0.72049^0.5)+1.6667*ln(1+2.0785*0.72049^0.5))+2.6667*0.72049*(c+d*(1+(-1-3.464*0.72049^0.5+6*0.72049)*e0.72049p(-3.464*0.72049^0.5))/(12*0.72049))+2.8289*0.72049^2*e)+0.07214;
      0.07521378=-(m*0.92046/(n*0.92046^0.5+1))*8.314*298.15*(ln(0.92046)-0.784*(1.7321*0.92046^0.5/(1+2.0785*0.92046^0.5)+1.6667*ln(1+2.0785*0.92046^0.5))+2.6667*0.92046*(c+d*(1+(-1-3.464*0.92046^0.5+6*0.92046)*e0.92046p(-3.464*0.92046^0.5))/(12*0.92046))+2.8289*0.92046^2*e)+0.07214;
      0.07661342=(m*1.3003/(n*1.3003^0.5+1))*8.314*298.15*(ln(1.3003)-0.784*(1.7321*1.3003^0.5/(1+2.0785*1.3003^0.5)+1.6667*ln(1+2.0785*1.3003^0.5))+2.6667*1.3003*(c+d*(1+(-1-3.464*1.3003^0.5+6*1.3003)*e1.3003p(-3.464*1.3003^0.5))/(12*1.3003))+2.8289*1.3003^2*e)+0.07214;
      0.07871152=(m*1.67471/(n*1.67471^0.5+1))*8.314*298.15*(ln(1.67471)-0.784*(1.7321*1.67471^0.5/(1+2.0785*1.67471^0.5)+1.6667*ln(1+2.0785*1.67471^0.5))+2.6667*1.67471*(c+d*(1+(-1-3.464*1.67471^0.5+6*1.67471)*e1.67471p(-3.464*1.67471^0.5))/(12*1.67471))+2.8289*1.67471^2*e)+0.07214;
      0.07934748=(m*1.86291/(n*1.86291^0.5+1))*8.314*298.15*(ln(1.86291)-0.784*(1.7321*1.86291^0.5/(1+2.0785*1.86291^0.5)+1.6667*ln(1+2.0785*1.86291^0.5))+2.6667*1.86291*(c+d*(1+(-1-3.464*1.86291^0.5+6*1.86291)*e1.86291p(-3.464*1.86291^0.5))/(12*1.86291))+2.8289*1.86291^2*e)+0.07214;
      0.08119555=(m*2.42891/(n*2.42891^0.5+1))*8.314*298.15*(ln(2.42891)-0.784*(1.7321*2.42891^0.5/(1+2.0785*2.42891^0.5)+1.6667*ln(1+2.0785*2.42891^0.5))+2.6667*2.42891*(c+d*(1+(-1-3.464*2.42891^0.5+6*2.42891)*e2.42891p(-3.464*2.42891^0.5))/(12*2.42891))+2.8289*2.42891^2*e)+0.07214;
      0.08388612=(m*2.94245/(n*2.94245^0.5+1))*8.314*298.15*(ln(2.94245)-0.784*(1.7321*2.94245^0.5/(1+2.0785*2.94245^0.5)+1.6667*ln(1+2.0785*2.94245^0.5))+2.6667*2.94245*(c+d*(1+(-1-3.464*2.94245^0.5+6*2.94245)*e2.94245p(-3.464*2.94245^0.5))/(12*2.94245))+2.8289*2.94245^2*e)+0.07214;
      0.08544611=(m*3.49978/(n*3.49978^0.5+1))*8.314*298.15*(ln(3.49978)-0.784*(1.7321*3.49978^0.5/(1+2.0785*3.49978^0.5)+1.6667*ln(1+2.0785*3.49978^0.5))+2.6667*3.49978*(c+d*(1+(-1-3.464*3.49978^0.5+6*3.49978)*e3.49978p(-3.464*3.49978^0.5))/(12*3.49978))+2.8289*3.49978^2*e)+0.07214;
      0.08798993=(m*4.05405/(n*4.05405^0.5+1))*8.314*298.15*(ln(4.05405)-0.784*(1.7321*4.05405^0.5/(1+2.0785*4.05405^0.5)+1.6667*ln(1+2.0785*4.05405^0.5))+2.6667*4.05405*(c+d*(1+(-1-3.464*4.05405^0.5+6*4.05405)*e4.05405p(-3.464*4.05405^0.5))/(12*4.05405))+2.8289*4.05405^2*e)+0.07214;
以上放到function中，qiuyicicanshu
將data 分成兩段，針對(duì)不同的擬合函數(shù)，分別做一次擬合。
將一個(gè)程序分成三個(gè)小程序處理，低版本1stop就可以勝任了。

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6樓2014-03-15 15:48:21

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feixiaolin

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6# qiuyicicanshu = 求解一次參數(shù)。

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7樓2014-03-15 15:49:17

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6樓: Originally posted by feixiaolin at 2014-03-15 15:48:21
0.07272703=-(m*0.17809/(n*0.17809^0.5+1))*8.314*298.15*(ln(0.17809)-0.784*(1.7321*0.17809^0.5/(1+2.0785*0.17809^0.5)+1.6667*ln(1+2.0785*0.17809^0.5))+2.6667*0.17809*(c+d*(1+(-1-3.464*0.17809^0.5+6*0. ...

我用的低版本1stopt 每次輸入都提示錯(cuò)誤不知道為什么

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8樓2014-03-15 16:55:30

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5樓: Originally posted by 月只藍(lán) at 2014-03-15 14:47:20
高版本的1stopt可以做共享參數(shù)擬合。...

沒(méi)有高版本1stopt想請(qǐng)教您一下如果用matlab需要什么程序去擬合？

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9樓2014-03-15 16:56:14

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4樓: Originally posted by 月只藍(lán) at 2014-03-15 14:45:56
共享參數(shù)擬合么？你找本版的實(shí)習(xí)版主，請(qǐng)他幫你做...

謝謝你

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10樓2014-03-15 16:58:43

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