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liuyalei820

½ð³æ (ÕýʽдÊÖ)

[½»Á÷] ¡¾ÇóÖú¡¿ÇóÖú£¬ÄâºÏ²ÎÊý£¬¼±¡£¡£¡£¡£ ÒÑÓÐ3È˲ÎÓë

x=[0.8,1.0,1.2,1.6,2.0];
y=[3.03,1.55,0.9,0.38,0.19];
y=A*(1-w/(R*x))*exp(-R*x)+B*(1-w/(g*x))*exp(-g*x)+w*2.714/x;
²ÎÊýΪA,B,R,w,g
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» ±¾Ö÷ÌâÏà¹Ø¼ÛÖµÌùÍÆ¼ö£¬¶ÔÄúͬÑùÓаïÖú:

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lijinfeng042

ľ³æ (СÓÐÃûÆø)

Matlab

¡ï ¡ï ¡ï
robert2020(½ð±Ò+2):ÐÁ¿àÁË£¡ 2010-06-17 16:45:43
zzuwangshilei(½ð±Ò+1):¶àлר¼Ò²ÎÓ룬ÐÁ¿àÁË 2010-06-17 21:18:58
liuyalei820(½ð±Ò+5): 2010-06-26 15:30:51
ÒýÓûØÌû:
Originally posted by lijinfeng042 at 2010-06-17 14:57:41:

Ö±½ÓÒ²¿ÉÒÔ

General model:
     f(x) = A*(1-w/(R*x))*exp(-R*x)+B*(1-w/(g*x))*exp(-g*x)+w*2.714/x
Coefficients:
       A =   -0.002875
       B =      -2.971
       R =   -0.001061
        ...

Ôٴο´ÁË È·ÊµÎó²î±È½Ï´ó°¡ ºÇºÇ ÄǸö¾ÍÓÃ×îС¶þ³Ë°É
½á¹û
                 lijinfeng042                    2010-06-17 16:09:32
          0.8            1          1.2          1.6            2
y =
         3.03         1.55          0.9         0.38         0.19
f =
     Inline function:
     f(b,x) = b(:,1).*(1-b(:,2)./(b(:,3)*x)).*exp(-b(:,3).*x)+b(:,4).*(1-b(:,2)./(b(:,5).*x)).*exp(-b(:,5).*x)+b(:,2).*2.714./x
b =
     1     1     1     1     1

Solver stopped prematurely.

lsqcurvefit stopped because it exceeded the function evaluation limit,
options.MaxFunEvals = 500 (the default value).

beta =
       17.166     0.062191       3.1244       17.166       3.1244
resnorm =
     0.019414
residual =
    -0.069605     0.098142     0.035281    -0.045825    -0.039906
exitflag =
     0
b =
       17.166     0.062191       3.1244       17.166       3.1244
y =
6081198861965555/(36028797018963968*x) - (2706592770445987042675673052433/(7921178145673128892318584143872*x) - 4831739889273179/281474976710656)/exp((879427435948391*x)/281474976710656) - (902198920644967483581745009749/(2640392871957154958811273887744*x) - 4831747014776661/281474976710656)/exp((7035419905207143*x)/2251799813685248)

³ÌÐò
CODE:
function tu
x=[0.8,1.0,1.2,1.6,2.0]
y=[3.03,1.55,0.9,0.38,0.19]
plot(x,y,'o')
axis([0 2 0 1])
f=inline('b(:,1).*(1-b(:,2)./(b(:,3)*x)).*exp(-b(:,3).*x)+b(:,4).*(1-b(:,2)./(b(:,5).*x)).*exp(-b(:,5).*x)+b(:,2).*2.714./x','b','x')
b=ones(1,5)
[beta,resnorm,residual,exitflag]=lsqcurvefit(f,b,x,y)
syms b x
b=beta
y=subs(b(:,1).*(1-b(:,2)./(b(:,3)*x)).*exp(-b(:,3).*x)+b(:,4).*(1-b(:,2)./(b(:,5).*x)).*exp(-b(:,5).*x)+b(:,2).*2.714./x)
hold on
ezplot(y,[0 2])

¹¤×÷ÁË,ż¶û»áÉÏÀ´~¿ÉÒÔ¹Ø×¢ÐÂÀË΢²© @ÔÆÊÇ·çµÄÃÎ_Matlab
3Â¥2010-06-17 16:15:28
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
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lijinfeng042

ľ³æ (СÓÐÃûÆø)

Matlab

¡ï ¡ï
liuyalei820(½ð±Ò+1):ÓÃMATLABÄâºÏ³öÀ´µÄÄ£ÐÍÔÚʵ¼Ê˵Ã÷ÉÏÓдíÎ󣬲»ÖªµÀÄÜ·ñÖ±½Ó½â³öÎå¸ö²ÎÊýÄØ£¿£¿£¿£¿ 2010-06-17 15:16:47
adu886886(½ð±Ò+2):ÐÁ¿àÁË 2010-06-17 15:27:08
zzuwangshilei:»ý¼«²ÎÓë 2010-06-17 21:16:17
ÒýÓûØÌû:
Originally posted by liuyalei820 at 2010-06-17 14:24:08:
x=[0.8,1.0,1.2,1.6,2.0];
y=[3.03,1.55,0.9,0.38,0.19];
y=A*(1-w/(R*x))*exp(-R*x)+B*(1-w/(g*x))*exp(-g*x)+w*2.714/x;
²ÎÊýΪA,B,R,w,g
Çó²ÎÊýÖµ¡£

Ö±½ÓÒ²¿ÉÒÔ

General model:
     f(x) = A*(1-w/(R*x))*exp(-R*x)+B*(1-w/(g*x))*exp(-g*x)+w*2.714/x
Coefficients:
       A =   -0.002875
       B =      -2.971
       R =   -0.001061
       g =      0.8612
       w =       2.019

Goodness of fit:
  SSE: 0.0641
  R-square: 0.9878
¹¤×÷ÁË,ż¶û»áÉÏÀ´~¿ÉÒÔ¹Ø×¢ÐÂÀË΢²© @ÔÆÊÇ·çµÄÃÎ_Matlab
2Â¥2010-06-17 14:57:41
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

wlx0914

½ð³æ (СÓÐÃûÆø)

liuyalei820(½ð±Ò+1): 2010-07-03 17:00:22
¿ÉÒÔÓÃfminsearchº¯ÊýÇó
4Â¥2010-07-01 21:32:57
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

anyuezhiji

Òø³æ (ÕýʽдÊÖ)

ÐÇ¿ÕÐÐÕß

liuyalei820(½ð±Ò+2): 2010-07-06 16:19:06
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