用5阶龙格-库塔法,结果如下,
常微分方程算法: 五阶龙格-库塔法(Fith Order Runge-Kutta Method)
优化算法: 通用全局优化法(UGO1)
计算结束原因: 达到收敛判定标准
计算用时(时:分:秒:微秒): 00:00:02:672
均方差(RMSE): 3.01974154808009
残差平方和(SSE): 1623.1533450618
相关系数(R): 0.999906678609376
相关系数之平方(R^2): 0.999813365927634
确定系数(DC): 0.999810731430232
F统计(F-Statistic): 71454.6315936622
参数 最佳估算
-------------------- -------------
a 0.21376721720681
b 0.00121118818676014
c 0.104331027261508
d 0.000962784941586866
====== 输出结果 =====
文件:codesheet3[a2:c91]
No t 目标x 计算x 目标y 计算y
1 12 53.03 54.0067964795895 38.9 39.1292998603599
2 13 64.05 63.8562244898728 36.78 37.3053275241473
3 14 75.4 75.6481266360822 36.04 35.9378826921642
4 15 90.36 89.7401833663169 33.78 35.0535706957133
5 16 107.14 106.537759403597 35.4 34.7020475954434
6 17 127.79 126.487542892493 34.68 34.9658771930844
7 18 150.77 150.059654491026 36.61 35.9762801766716
8 19 179.65 177.708987568819 37.71 37.9386478526295
9 20 211.82 209.79983970792 41.98 41.1743973187383
10 21 249.91 246.466745829655 45.72 46.1901306207028
11 22 291.31 287.367218916765 53.1 53.7913052405999
12 23 334.95 331.260750373574 65.44 65.2631386045852
13 24 380.67 375.341580103324 83 82.6325098899276
14 25 420.28 414.334971781367 108.74 108.953032438305
15 26 445.56 439.742006243386 150.01 148.301302846137
16 27 447.63 440.572074051758 205.61 204.610747431431
17 28 414.04 407.894142770623 281.6 278.124911468988
18 29 347.04 343.155079157977 364.56 360.47178442055
19 30 265.33 262.065988250007 440.3 434.79260163454
20 31 187.57 185.3492298299 489.68 485.357708760265
21 32 128 125.487322331296 512.95 507.06812160224
22 33 85.25 84.036718080375 510.01 504.629386881938
23 34 57.17 57.0426685706395 491.06 486.11562504114
24 35 39.96 39.8386418379804 462.22 458.57849189642
25 36 29.22 28.8508556261695 430.15 426.869588399672
26 37 22.3 21.7322912477701 396.95 393.962668545254
27 38 16.52 17.0326842131983 364.87 361.562140241817
28 39 14.41 13.8725448608696 333.16 330.591074777409
29 40 11.58 11.7175345395765 304.97 301.510500835635
30 41 10.41 10.2392829214653 277.73 274.513093410793
31 42 10.17 9.23304848145355 253.16 249.637516926243
32 43 7.86 8.56952538987884 229.66 226.835542311729
33 44 9.23 8.16652783897741 209.53 206.011581217805
34 45 8.22 7.97218633086877 190.07 187.046113897649
35 46 8.76 7.95486847693486 173.58 169.80963139363
36 47 7.9 8.09709495127879 156.4 154.170922730233
37 48 8.38 8.39188583273248 143.05 140.001947593014
38 49 9.53 8.84063215899032 130.75 127.180624155246
39 50 9.33 9.45196502154673 117.49 115.592334075866
40 51 9.72 10.2413142421367 108.16 105.130636591664
41 52 10.55 11.2309793963069 98.08 95.6974985662724
42 53 13.05 12.4506159021813 88.91 87.2032353252076
43 54 13.58 13.9380894536466 82.28 79.5662885328772
44 55 16.31 15.7406852710021 75.42 72.7129252539932
45 56 17.75 17.9166811645162 69.58 66.5769168397939
46 57 20.11 20.5373087630496 62.58 61.0992417127078
47 58 23.98 23.6891368350776 59.22 56.2278493571397
48 59 28.51 27.476914096539 54.91 51.9175224061511
49 60 31.61 32.0269041460946 49.79 48.1298794902722
50 61 37.13 37.4907277375937 45.94 44.8335745991707
51 62 45.06 44.0496895058149 43.41 42.0047717903424
52 63 53.4 51.919493821298 41.3 39.6280121869684
53 64 62.39 61.3551244598545 40.28 37.6976521634453
54 65 72.89 72.6554357935813 37.71 36.2201527249186
55 66 86.92 86.1666117169836 36.58 35.2176669756549
56 67 103.32 102.282975897107 36.98 34.7336519114822
57 68 121.7 121.442480352289 36.65 34.8417047608015
58 69 144.86 144.112205356973 37.87 35.6596370588988
59 70 171.92 170.755762014503 39.63 37.372199923409
60 71 202.51 201.76858101464 42.97 40.2682648878233
61 72 237.69 237.357147626293 46.95 44.8022030540824
62 73 276.77 277.322542710388 54.93 51.6950681821252
63 74 319.76 320.687596568871 64.61 62.0974702549757
64 75 362.05 365.093021419772 81.28 77.8329962098211
65 76 400.11 405.936661198158 105.5 101.691948442962
66 77 427.79 435.508358102566 143.03 137.549380751854
67 78 434.56 443.177866540092 192.45 189.589893942302
68 79 410.31 418.850227293559 260.84 259.390825847644
69 80 354.18 360.780492083863 339.39 340.946763289048
70 81 278.49 281.628062588185 413.79 418.850363981219
71 82 203.72 202.293720431674 466.94 475.979768490233
72 83 141.06 137.948663363885 494.72 504.378798372148
73 84 95.08 92.382972076218 499.37 506.966055663142
74 85 66.76 62.4023459254144 484.58 491.553551817501
75 86 45.41 43.2479984763749 460.63 465.636918453729
76 87 33.13 31.0385244744842 429.79 434.589191815273
77 88 25.89 23.1603176191095 398.77 401.774403097485
78 89 20.51 17.9830163706569 366.49 369.147429241701
79 90 17.11 14.5159107165752 336.56 337.782108477268
80 91 12.69 12.1580602998474 306.39 308.227765428028
81 92 11.76 10.5413408821382 279.53 280.728094932099
82 93 11.22 9.43701541152435 254.95 255.350878249031
83 94 10.29 8.70100653171298 233.5 232.064138610704
84 95 8.82 8.24179648479062 212.74 210.780943218098
85 96 9.51 8.00142730469918 193.61 191.385915418418
86 97 8.69 7.9441310333005 175.01 173.751002179209
87 98 9.53 8.04947205824711 160.59 157.744855406208
88 99 8.68 8.30821729990978 146.12 143.238368635033
89 100 10.82 8.71990434232477 131.85 130.107871896474