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heisekaishui

银虫 (小有名气)

[求助] 关于1STOPT拟合的小问题 已有2人参与

各位前辈,我最近用1stopt拟合了一组数据,但是发现拟合的数据使用不同阶的龙格库塔方程结果不同,但是精度都差不多,不知道是什么原因,希望大家不吝赐教。
代码如下:
Parameters k1,k2,k3;
Variable t,a,b,c;
ODEFunction a'=-k1*a-k2*a;
b'=k1*a;
c'=k2*a;
Data;
t=0,2,4,6,8,10;
a=1.161575096,1.098850041,1.022186084,0.952491579,0.885120223,0.825879893;
b=0,0.060153328,0.132977117,0.197793007,0.254614938,0.306825415;
c=0,0.002571727,0.006411895,0.01129051,0.021839935,0.028869787;

同时,我在设定参数的范围时,并没有起到效果,而且1stopt的结果纵坐标范围是0-4而不是0-10不知道是什么原因
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Don'tPanic!
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heisekaishui

银虫 (小有名气)

送红花一朵
引用回帖:
6楼: Originally posted by dingd at 2015-07-17 23:23:35
稳定唯一:

均方差(RMSE):0.00523400858904149
残差平方和(SSE):0.000410922688652401
相关系数(R): 0.99229618847388
相关系数之平方(R^2): 0.98465172565979
确定系数(DC): 0.949184328781669
F统计(F-St ...

非常感谢
Don'tPanic!
8楼2015-07-18 13:37:22
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ybkooo

至尊木虫 (著名写手)

^^

【答案】应助回帖

★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★
感谢参与,应助指数 +1
heisekaishui: 金币+10, ★★★很有帮助, 非常感谢,我还想问一下如果我要设置参数的取值范围应该怎么设置,比如我想让所有的 2015-07-18 13:32:29
heisekaishui: 金币+10, ★★★很有帮助, 非常感谢,我还想问一下如果我要设置参数的取值范围应该怎么设置,比如我想让所有的 2015-07-18 13:32:48
看看这样能不能解决你的问题
Parameters k1,k2,k3;
Variable t,a,b,c;
SharedModel;
ODEFunction a'=-k1*a-k2*a;
b'=k1*a;
c'=k2*a;
RowData;
0,2,4,6,8,10;
1.161575096,1.098850041,1.022186084,0.952491579,0.885120223,0.825879893;
0,0.060153328,0.132977117,0.197793007,0.254614938,0.306825415;
0,0.002571727,0.006411895,0.01129051,0.021839935,0.028869787;
abcd
2楼2015-07-17 21:15:36
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ybkooo

至尊木虫 (著名写手)

^^

Parameters k1,k2,k3,k4;
修改方程,这个可以得到稳定结果
Variable t,a,b,c;
ODEFunction a'=-k1*a-k2*a;
b'=k3*a;
c'=k4*a;
RowData;
0,2,4,6,8,10;
1.161575096,1.098850041,1.022186084,0.952491579,0.885120223,0.825879893;
0,0.060153328,0.132977117,0.197793007,0.254614938,0.306825415;
0,0.002571727,0.006411895,0.01129051,0.021839935,0.028869787;
abcd
3楼2015-07-17 21:41:22
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ybkooo

至尊木虫 (著名写手)

^^

坐标显示0-4可能是他的作图功能不好,或不是正版软件,只看他的计算值就行了(计算值不是有,每时刻的计算值吗)
2        1.098850041        .060153328        .002571727        1.08633992640023        6.97307002743706E-02        5.60446897778746E-03        For a:
4        1.022186084        .132977117        .006411895        1.01597773545576        .134944946131689        1.08459367441951E-02        DC: 0.99487234139559
6        .952491579        .197793007        .01129051        .950172900633618        .195935268051574        1.57479148657442E-02        R: 0.999959508427279
8        .885120223        .254614938        .021839935        .888630242171105        .25297524940825        2.03323920723293E-02        RMSE: 0.00692414160103415
10        .825879893        .306825415        .028869787        .831073699086233        .306320753592402        2.46199328847424E-02        SSE: 0.000239718684555859
abcd
4楼2015-07-17 21:48:42
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