out.txt

经典四阶龙哥库塔法解方程组

51.999779,  0.042230,  28.398869,  2958.669189, 
52.099777,  0.042111,  28.195250,  2980.048584, 
52.199776,  0.041993,  27.993090,  3001.582275, 
52.299774,  0.041876,  27.792379,  3023.271729, 
52.399773,  0.041760,  27.593109,  3045.117920, 
52.499771,  0.041645,  27.395266,  3067.121826, 
52.599770,  0.041532,  27.198841,  3089.284912, 
52.699768,  0.041419,  27.003824,  3111.607910, 
52.799767,  0.041308,  26.810205,  3134.092285, 
52.899765,  0.041198,  26.617975,  3156.739258, 
52.999763,  0.041089,  26.427122,  3179.549805, 
53.099762,  0.040981,  26.237638,  3202.525146, 
53.199760,  0.040874,  26.049513,  3225.666504, 
53.299759,  0.040768,  25.862736,  3248.975098, 
53.399757,  0.040663,  25.677298,  3272.452148, 
53.499756,  0.040559,  25.493189,  3296.098877, 
53.599754,  0.040456,  25.310400,  3319.916504, 
53.699753,  0.040354,  25.128922,  3343.906250, 
53.799751,  0.040253,  24.948744,  3368.069336, 
53.899750,  0.040153,  24.769857,  3392.406982, 
53.999748,  0.040054,  24.592253,  3416.920410, 
54.099747,  0.039956,  24.415922,  3441.611084, 
54.199745,  0.039859,  24.240856,  3466.480225, 
54.299744,  0.039763,  24.067045,  3491.529053, 
54.399742,  0.039668,  23.894480,  3516.758789, 
54.499741,  0.039573,  23.723152,  3542.170898, 
54.599739,  0.039480,  23.553053,  3567.766602, 
54.699738,  0.039387,  23.384172,  3593.547119, 
54.799736,  0.039296,  23.216503,  3619.513916, 
54.899734,  0.039205,  23.050035,  3645.668457, 
54.999733,  0.039115,  22.884762,  3672.011963, 
55.099731,  0.039026,  22.720673,  3698.545898, 
55.199730,  0.038938,  22.557758,  3725.271484, 
55.299728,  0.038850,  22.396013,  3752.190186, 
55.399727,  0.038764,  22.235428,  3779.303467, 
55.499725,  0.038678,  22.075993,  3806.612549, 
55.599724,  0.038593,  21.917702,  3834.119141, 
55.699722,  0.038509,  21.760546,  3861.824463, 
55.799721,  0.038425,  21.604515,  3889.729980, 
55.899719,  0.038343,  21.449604,  3917.837158, 
55.999718,  0.038261,  21.295803,  3946.147461, 
56.099716,  0.038180,  21.143105,  3974.662354, 
56.199715,  0.038099,  20.991501,  4003.383301, 
56.299713,  0.038020,  20.840984,  4032.311768, 
56.399712,  0.037941,  20.691547,  4061.449219, 
56.499710,  0.037863,  20.543180,  4090.797119, 
56.599709,  0.037785,  20.395878,  4120.356934, 
56.699707,  0.037709,  20.249632,  4150.130371, 
56.799706,  0.037633,  20.104433,  4180.119141, 
56.899704,  0.037557,  19.960276,  4210.324707, 
56.999702,  0.037483,  19.817152,  4240.748535, 
57.099701,  0.037409,  19.675055,  4271.392090, 
57.199699,  0.037335,  19.533976,  4302.257324, 
57.299698,  0.037263,  19.393908,  4333.345215, 
57.399696,  0.037191,  19.254845,  4364.657715, 
57.499695,  0.037120,  19.116779,  4396.196777, 
57.599693,  0.037049,  18.979704,  4427.963379, 
57.699692,  0.036979,  18.843611,  4459.959961, 
57.799690,  0.036910,  18.708492,  4492.187500, 
57.899689,  0.036841,  18.574343,  4524.647949, 
57.999687,  0.036773,  18.441156,  4557.342773, 
58.099686,  0.036705,  18.308924,  4590.273926, 
58.199684,  0.036638,  18.177639,  4623.443359, 
58.299683,  0.036572,  18.047297,  4656.852051, 
58.399681,  0.036506,  17.917889,  4690.502441, 
58.499680,  0.036441,  17.789408,  4724.395996, 
58.599678,  0.036377,  17.661848,  4758.534180, 
58.699677,  0.036313,  17.535204,  4792.919434, 
58.799675,  0.036249,  17.409468,  4827.553223, 
58.899673,  0.036187,  17.284632,  4862.437012, 
58.999672,  0.036124,  17.160692,  4897.572754, 
59.099670,  0.036063,  17.037640,  4932.962402, 
59.199669,  0.036001,  16.915470,  4968.607910, 
59.299667,  0.035941,  16.794176,  5004.510742, 
59.399666,  0.035881,  16.673752,  5040.673340, 
59.499664,  0.035821,  16.554192,  5077.097168, 
59.599663,  0.035762,  16.435488,  5113.784180, 
59.699661,  0.035704,  16.317635,  5150.736328, 
59.799660,  0.035646,  16.200628,  5187.955566, 
59.899658,  0.035588,  16.084459,  5225.443848, 
59.999657,  0.035531,  15.969124,  5263.202637, 
60.099655,  0.035475,  15.854615,  5301.234375, 
60.199654,  0.035419,  15.740928,  5339.541016, 
60.299652,  0.035363,  15.628056,  5378.124512, 
60.399651,  0.035308,  15.515992,  5416.986816, 
60.499649,  0.035254,  15.404733,  5456.129883, 
60.599648,  0.035199,  15.294271,  5495.555664, 
60.699646,  0.035146,  15.184601,  5535.266602, 
60.799644,  0.035093,  15.075717,  5575.264160, 
60.899643,  0.035040,  14.967614,  5615.550781, 
60.999641,  0.034988,  14.860287,  5656.128418, 
61.099640,  0.034936,  14.753729,  5696.999512, 
61.199638,  0.034885,  14.647935,  5738.166016, 
61.299637,  0.034834,  14.542899,  5779.629883, 
61.399635,  0.034783,  14.438617,  5821.393555, 
61.499634,  0.034733,  14.335082,  5863.458984, 
61.599632,  0.034684,  14.232289,  5905.828125, 
61.699631,  0.034635,  14.130234,  5948.503418, 
61.799629,  0.034586,  14.028910,  5991.487305, 
61.899628,  0.034538,  13.928312,  6034.781738, 
61.999626,  0.034490,  13.828436,  6078.389160, 
62.099625,  0.034442,  13.729276,  6122.311523, 
62.199623,  0.034395,  13.630827,  6166.551270, 
62.299622,  0.034348,  13.533084,  6211.110840, 
62.399620,  0.034302,  13.436042,  6255.992188, 
62.499619,  0.034256,  13.339696,  6301.197754, 
62.599617,  0.034211,  13.244040,  6346.729980, 
62.699615,  0.034166,  13.149071,  6392.591309, 
62.799614,  0.034121,  13.054782,  6438.784180, 
62.899612,  0.034077,  12.961169,  6485.310547, 
62.999611,  0.034033,  12.868228,  6532.173340, 
63.099609,  0.033989,  12.775953,  6579.374512, 
63.199608,  0.033946,  12.684340,  6626.916992, 
63.299606,  0.033903,  12.593383,  6674.802734, 
63.399605,  0.033860,  12.503078,  6723.034668, 
63.499603,  0.033818,  12.413422,  6771.615234, 
63.599602,  0.033776,  12.324408,  6820.546875, 
63.699600,  0.033735,  12.236032,  6869.832031, 
63.799599,  0.033694,  12.148290,  6919.473145, 
63.899597,  0.033653,  12.061176,  6969.473145, 
63.999596,  0.033613,  11.974688,  7019.834473, 
64.099594,  0.033573,  11.888820,  7070.559570, 
64.199593,  0.033533,  11.803567,  7121.651367, 
64.299591,  0.033493,  11.718925,  7173.112305, 
64.399590,  0.033454,  11.634892,  7224.945313, 
64.499588,  0.033416,  11.551459,  7277.152832, 
64.599586,  0.033377,  11.468626,  7329.737305, 
64.699585,  0.033339,  11.386387,  7382.701660, 
64.799583,  0.033301,  11.304737,  7436.048828, 
64.899582,  0.033264,  11.223673,  7489.781738, 
64.999580,  0.033227,  11.143189,  7543.902832, 
65.099579,  0.033190,  11.063283,  7598.415039, 
65.199577,  0.033153,  10.983950,  7653.321289, 
65.299576,  0.033117,  10.905186,  7708.624023, 
65.399574,  0.033081,  10.826986,  7764.326172, 
65.499573,  0.033045,  10.749348,  7820.431152, 
65.599571,  0.033010,  10.672266,  7876.941406, 
65.699570,  0.032975,  10.595737,  7933.859863, 
65.799568,  0.032940,  10.519756,  7991.189941, 
65.899567,  0.032905,  10.444321,  8048.934082, 
65.999565,  0.032871,  10.369426,  8107.095703, 
66.099564,  0.032837,  10.295068,  8165.677246, 
66.199562,  0.032804,  10.221243,  8224.682617, 
66.299561,  0.032770,  10.147947,  8284.114258, 
66.399559,  0.032737,  10.075177,  8343.975586, 
66.499557,  0.032704,  10.002929,  8404.268555, 
66.599556,  0.032672,  9.931199,  8464.998047, 
66.699554,  0.032639,  9.859983,  8526.166016, 
66.799553,  0.032607,  9.789278,  8587.776367, 
66.899551,  0.032575,  9.719080,  8649.831055, 
66.999550,  0.032544,  9.649385,  8712.334961, 
67.099548,  0.032513,  9.580191,  8775.290039, 
67.199547,  0.032482,  9.511492,  8838.700195, 
67.299545,  0.032451,  9.443286,  8902.568359, 
67.399544,  0.032420,  9.375569,  8966.898438, 
67.499542,  0.032390,  9.308338,  9031.693359, 
67.599541,  0.032360,  9.241589,  9096.956055, 
67.699539,  0.032330,  9.175318,  9162.690430, 
67.799538,  0.032301,  9.109522,  9228.899414, 
67.899536,  0.032271,  9.044198,  9295.586914, 
67.999535,  0.032242,  8.979342,  9362.756836, 
68.099533,  0.032214,  8.914952,  9430.412109, 
68.199532,  0.032185,  8.851024,  9498.555664, 
68.299530,  0.032157,  8.787554,  9567.192383, 
68.399529,  0.032128,  8.724539,  9636.325195, 
68.499527,  0.032100,  8.661976,  9705.957031, 
68.599525,  0.032073,  8.599861,  9776.091797, 
68.699524,  0.032045,  8.538192,  9846.733398, 
68.799522,  0.032018,  8.476965,  9917.885742, 
68.899521,  0.031991,  8.416177,  9989.551758, 
68.999519,  0.031964,  8.355824,  10061.736328, 
69.099518,  0.031938,  8.295905,  10134.442383, 
69.199516,  0.031911,  8.236416,  10207.673828, 
69.299515,  0.031885,  8.177353,  10281.434570, 
69.399513,  0.031859,  8.118713,  10355.728516, 
69.499512,  0.031833,  8.060494,  10430.558594, 
69.599510,  0.031808,  8.002693,  10505.929688, 
69.699509,  0.031782,  7.945306,  10581.845703, 
69.799507,  0.031757,  7.888330,  10658.309570, 
69.899506,  0.031732,  7.831763,  10735.326172, 
69.999504,  0.031708,  7.775601,  10812.899414, 
70.099503,  0.031683,  7.719842,  10891.033203, 
70.199501,  0.031659,  7.664484,  10969.731445, 
70.299500,  0.031634,  7.609521,  11048.998047, 
70.399498,  0.031611,  7.554954,  11128.837891, 
70.499496,  0.031587,  7.500777,  11209.254883, 
70.599495,  0.031563,  7.446989,  11290.252930, 
70.699493,  0.031540,  7.393586,  11371.835938, 
70.799492,  0.031516,  7.340567,  11454.008789, 
70.899490,  0.031493,  7.287927,  11536.775391, 
70.999489,  0.031471,  7.235665,  11620.139648, 
71.099487,  0.031448,  7.183778,  11704.106445, 
71.199486,  0.031425,  7.132263,  11788.679688, 
71.299484,  0.031403,  7.081118,  11873.864258, 
71.399483,  0.031381,  7.030339,  11959.665039, 
71.499481,  0.031359,  6.979924,  12046.084961, 
71.599480,  0.031337,  6.929871,  12133.129883, 
71.699478,  0.031316,  6.880177,  12220.803711, 
71.799477,  0.031294,  6.830839,  12309.111328, 
71.899475,  0.031273,  6.781855,  12398.056641, 
71.999474,  0.031252,  6.733222,  12487.644531, 
72.099472,  0.031231,  6.684937,  12577.879883, 
72.199471,  0.031210,  6.637000,  12668.767578, 
72.299469,  0.031189,  6.589406,  12760.311523, 
72.399467,  0.031169,  6.542152,  12852.517578, 
72.499466,  0.031148,  6.495238,  12945.389648, 
72.599464,  0.031128,  6.448661,  13038.932617, 
72.699463,  0.031108,  6.402417,  13133.151367, 
72.799461,  0.031088,  6.356505,  13228.051758, 
72.899460,  0.031069,  6.310922,  13323.637695, 
72.999458,  0.031049,  6.265666,  13419.914063, 
73.099457,  0.031030,  6.220735,  13516.885742, 
73.199455,  0.031011,  6.176126,  13614.558594, 
73.299454,  0.030992,  6.131836,  13712.937500, 
73.399452,  0.030973,  6.087864,  13812.027344, 
73.499451,  0.030954,  6.044208,  13911.833008, 
73.599449,  0.030935,  6.000864,  14012.359375, 
73.699448,  0.030917,  5.957831,  14113.612305, 
73.799446,  0.030898,  5.915107,  14215.596680, 
73.899445,  0.030880,  5.872690,  14318.318359, 
73.999443,  0.030862,  5.830576,  14421.782227, 
74.099442,  0.030844,  5.788765,  14525.994141, 
74.199440,  0.030826,  5.747253,  14630.958984, 
74.299438,  0.030809,  5.706039,  14736.681641, 
74.399437,  0.030791,  5.665121,  14843.168945, 
74.499435,  0.030774,  5.624496,  14950.425781, 
74.599434,  0.030757,  5.584162,  15058.457031, 
74.699432,  0.030740,  5.544118,  15167.269531, 
74.799431,  0.030723,  5.504361,  15276.868164, 
74.899429,  0.030706,  5.464889,  15387.258789, 
74.999428,  0.030689,  5.425699,  15498.447266, 
75.099426,  0.030672,  5.386791,  15610.438477, 
75.199425,  0.030656,  5.348162,  15723.239258, 
75.299423,  0.030640,  5.309810,  15836.855469, 
75.399422,  0.030623,  5.271733,  15951.291992, 
75.499420,  0.030607,  5.233929,  16066.555664, 
75.599419,  0.030591,  5.196395,  16182.652344, 
75.699417,  0.030576,  5.159132,  16299.587891, 
75.799416,  0.030560,  5.122135,  16417.369141, 
75.899414,  0.030544,  5.085403,  16536.000000, 
75.999413,  0.030529,  5.048935,  16655.488281, 
76.099411,  0.030513,  5.012729,  16775.839844, 
76.199409,  0.030498,  4.976782,  16897.062500, 
76.299408,  0.030483,  4.941093,  17019.160156, 
76.399406,  0.030468,  4.905660,  17142.140625, 
76.499405,  0.030453,  4.870481,  17266.009766, 
76.599403,  0.030438,  4.835554,  17390.773438, 
76.699402,  0.030424,  4.800878,  17516.439453, 
76.799400,  0.030409,  4.766450,  17643.013672, 
76.899399,  0.030395,  4.732269,  17770.501953, 
76.999397,  0.030380,  4.698334,  17898.912109, 
77.099396,  0.030366,  4.664641,  18028.250000, 
77.199394,  0.030352,  4.631191,  18158.521484, 
77.299393,  0.030338,  4.597980,  18289.734375, 
77.399391,  0.030324,  4.565007,  18421.896484, 
77.499390,  0.030310,  4.532271,  18555.013672, 
77.599388,  0.030297,  4.499769,  18689.091797, 
77.699387,  0.030283,  4.467501,  18824.138672, 
77.799385,  0.030270,  4.435463,  18960.162109, 
77.899384,  0.030256,  4.403656,  19097.167969,