out.txt

经典四阶龙哥库塔法解方程组

77.999382,  0.030243,  4.372077,  19235.164063, 
78.099380,  0.030230,  4.340724,  19374.156250, 
78.199379,  0.030217,  4.309596,  19514.154297, 
78.299377,  0.030204,  4.278691,  19655.164063, 
78.399376,  0.030191,  4.248008,  19797.191406, 
78.499374,  0.030178,  4.217545,  19940.246094, 
78.599373,  0.030165,  4.187300,  20084.333984, 
78.699371,  0.030153,  4.157272,  20229.462891, 
78.799370,  0.030140,  4.127460,  20375.640625, 
78.899368,  0.030128,  4.097861,  20522.875000, 
78.999367,  0.030116,  4.068475,  20671.173828, 
79.099365,  0.030103,  4.039299,  20820.542969, 
79.199364,  0.030091,  4.010333,  20970.992188, 
79.299362,  0.030079,  3.981574,  21122.527344, 
79.399361,  0.030067,  3.953021,  21275.158203, 
79.499359,  0.030056,  3.924674,  21428.892578, 
79.599358,  0.030044,  3.896529,  21583.738281, 
79.699356,  0.030032,  3.868587,  21739.701172, 
79.799355,  0.030021,  3.840844,  21896.791016, 
79.899353,  0.030009,  3.813301,  22055.017578, 
79.999352,  0.029998,  3.785955,  22214.386719, 
80.099350,  0.029986,  3.758806,  22374.908203, 
80.199348,  0.029975,  3.731850,  22536.589844, 
80.299347,  0.029964,  3.705089,  22699.439453, 
80.399345,  0.029953,  3.678519,  22863.464844, 
80.499344,  0.029942,  3.652139,  23028.675781, 
80.599342,  0.029931,  3.625949,  23195.080078, 
80.699341,  0.029920,  3.599947,  23362.687500, 
80.799339,  0.029910,  3.574131,  23531.505859, 
80.899338,  0.029899,  3.548501,  23701.544922, 
80.999336,  0.029888,  3.523054,  23872.812500, 
81.099335,  0.029878,  3.497789,  24045.316406, 
81.199333,  0.029867,  3.472706,  24219.068359, 
81.299332,  0.029857,  3.447803,  24394.074219, 
81.399330,  0.029847,  3.423078,  24570.345703, 
81.499329,  0.029837,  3.398530,  24747.890625, 
81.599327,  0.029827,  3.374159,  24926.718750, 
81.699326,  0.029816,  3.349962,  25106.837891, 
81.799324,  0.029807,  3.325939,  25288.259766, 
81.899323,  0.029797,  3.302088,  25470.992188, 
81.999321,  0.029787,  3.278408,  25655.044922, 
82.099319,  0.029777,  3.254898,  25840.427734, 
82.199318,  0.029767,  3.231557,  26027.150391, 
82.299316,  0.029758,  3.208383,  26215.222656, 
82.399315,  0.029748,  3.185375,  26404.654297, 
82.499313,  0.029739,  3.162532,  26595.453125, 
82.599312,  0.029730,  3.139853,  26787.630859, 
82.699310,  0.029720,  3.117336,  26981.197266, 
82.799309,  0.029711,  3.094981,  27176.162109, 
82.899307,  0.029702,  3.072787,  27372.537109, 
82.999306,  0.029693,  3.050751,  27570.330078, 
83.099304,  0.029684,  3.028873,  27769.552734, 
83.199303,  0.029675,  3.007153,  27970.214844, 
83.299301,  0.029666,  2.985588,  28172.326172, 
83.399300,  0.029657,  2.964178,  28375.898438, 
83.499298,  0.029648,  2.942921,  28580.941406, 
83.599297,  0.029640,  2.921817,  28787.466797, 
83.699295,  0.029631,  2.900864,  28995.484375, 
83.799294,  0.029622,  2.880061,  29205.005859, 
83.899292,  0.029614,  2.859407,  29416.041016, 
83.999290,  0.029606,  2.838902,  29628.601563, 
84.099289,  0.029597,  2.818544,  29842.697266, 
84.199287,  0.029589,  2.798331,  30058.339844, 
84.299286,  0.029581,  2.778264,  30275.541016, 
84.399284,  0.029572,  2.758340,  30494.312500, 
84.499283,  0.029564,  2.738560,  30714.664063, 
84.599281,  0.029556,  2.718921,  30936.607422, 
84.699280,  0.029548,  2.699423,  31160.154297, 
84.799278,  0.029540,  2.680065,  31385.316406, 
84.899277,  0.029532,  2.660846,  31612.105469, 
84.999275,  0.029525,  2.641764,  31840.533203, 
85.099274,  0.029517,  2.622819,  32070.613281, 
85.199272,  0.029509,  2.604010,  32302.355469, 
85.299271,  0.029501,  2.585336,  32535.771484, 
85.399269,  0.029494,  2.566797,  32770.875000, 
85.499268,  0.029486,  2.548389,  33007.675781, 
85.599266,  0.029479,  2.530114,  33246.187500, 
85.699265,  0.029471,  2.511971,  33486.425781, 
85.799263,  0.029464,  2.493957,  33728.398438, 
85.899261,  0.029457,  2.476072,  33972.121094, 
85.999260,  0.029449,  2.458315,  34217.601563, 
86.099258,  0.029442,  2.440686,  34464.855469, 
86.199257,  0.029435,  2.423183,  34713.898438, 
86.299255,  0.029428,  2.405806,  34964.742188, 
86.399254,  0.029421,  2.388554,  35217.398438, 
86.499252,  0.029414,  2.371425,  35471.878906, 
86.599251,  0.029407,  2.354419,  35728.199219, 
86.699249,  0.029400,  2.337535,  35986.371094, 
86.799248,  0.029393,  2.320772,  36246.406250, 
86.899246,  0.029386,  2.304129,  36508.320313, 
86.999245,  0.029380,  2.287606,  36772.128906, 
87.099243,  0.029373,  2.271201,  37037.843750, 
87.199242,  0.029366,  2.254913,  37305.480469, 
87.299240,  0.029360,  2.238743,  37575.050781, 
87.399239,  0.029353,  2.222688,  37846.566406, 
87.499237,  0.029347,  2.206749,  38120.046875, 
87.599236,  0.029340,  2.190924,  38395.500000, 
87.699234,  0.029334,  2.175212,  38672.945313, 
87.799232,  0.029327,  2.159613,  38952.394531, 
87.899231,  0.029321,  2.144126,  39233.863281, 
87.999229,  0.029315,  2.128750,  39517.367188, 
88.099228,  0.029309,  2.113484,  39802.917969, 
88.199226,  0.029302,  2.098328,  40090.531250, 
88.299225,  0.029296,  2.083280,  40380.226563, 
88.399223,  0.029290,  2.068341,  40672.011719, 
88.499222,  0.029284,  2.053508,  40965.906250, 
88.599220,  0.029278,  2.038782,  41261.925781, 
88.699219,  0.029272,  2.024161,  41560.082031, 
88.799217,  0.029266,  2.009646,  41860.394531, 
88.899216,  0.029260,  1.995234,  42162.878906, 
88.999214,  0.029255,  1.980926,  42467.546875, 
89.099213,  0.029249,  1.966720,  42774.417969, 
89.199211,  0.029243,  1.952616,  43083.503906, 
89.299210,  0.029237,  1.938614,  43394.824219, 
89.399208,  0.029232,  1.924711,  43708.394531, 
89.499207,  0.029226,  1.910909,  44024.230469, 
89.599205,  0.029221,  1.897205,  44342.347656, 
89.699203,  0.029215,  1.883600,  44662.765625, 
89.799202,  0.029210,  1.870092,  44985.496094, 
89.899200,  0.029204,  1.856681,  45310.558594, 
89.999199,  0.029199,  1.843366,  45637.972656, 
90.099197,  0.029193,  1.830147,  45967.750000, 
90.199196,  0.029188,  1.817023,  46299.914063, 
90.299194,  0.029183,  1.803992,  46634.476563, 
90.399193,  0.029178,  1.791056,  46971.457031, 
90.499191,  0.029172,  1.778211,  47310.871094, 
90.599190,  0.029167,  1.765460,  47652.738281, 
90.699188,  0.029162,  1.752799,  47997.074219, 
90.799187,  0.029157,  1.740229,  48343.898438, 
90.899185,  0.029152,  1.727750,  48693.230469, 
90.999184,  0.029147,  1.715359,  49045.085938, 
91.099182,  0.029142,  1.703058,  49399.484375, 
91.199181,  0.029137,  1.690845,  49756.445313, 
91.299179,  0.029132,  1.678720,  50115.984375, 
91.399178,  0.029127,  1.666681,  50478.121094, 
91.499176,  0.029122,  1.654729,  50842.875000, 
91.599174,  0.029118,  1.642862,  51210.265625, 
91.699173,  0.029113,  1.631081,  51580.308594, 
91.799171,  0.029108,  1.619384,  51953.027344, 
91.899170,  0.029103,  1.607771,  52328.437500, 
91.999168,  0.029099,  1.596241,  52706.562500, 
92.099167,  0.029094,  1.584794,  53087.417969, 
92.199165,  0.029090,  1.573429,  53471.027344, 
92.299164,  0.029085,  1.562146,  53857.406250, 
92.399162,  0.029080,  1.550943,  54246.578125, 
92.499161,  0.029076,  1.539821,  54638.562500, 
92.599159,  0.029071,  1.528779,  55033.378906, 
92.699158,  0.029067,  1.517815,  55431.050781, 
92.799156,  0.029063,  1.506931,  55831.593750, 
92.899155,  0.029058,  1.496124,  56235.031250, 
92.999153,  0.029054,  1.485395,  56641.382813, 
93.099152,  0.029050,  1.474743,  57050.671875, 
93.199150,  0.029045,  1.464167,  57462.917969, 
93.299149,  0.029041,  1.453667,  57878.144531, 
93.399147,  0.029037,  1.443243,  58296.371094, 
93.499146,  0.029033,  1.432893,  58717.621094, 
93.599144,  0.029029,  1.422617,  59141.914063, 
93.699142,  0.029024,  1.412415,  59569.273438, 
93.799141,  0.029020,  1.402286,  59999.718750, 
93.899139,  0.029016,  1.392230,  60433.277344, 
93.999138,  0.029012,  1.382246,  60869.968750, 
94.099136,  0.029008,  1.372334,  61309.812500, 
94.199135,  0.029004,  1.362492,  61752.835938, 
94.299133,  0.029000,  1.352722,  62199.062500, 
94.399132,  0.028997,  1.343021,  62648.511719, 
94.499130,  0.028993,  1.333390,  63101.207031, 
94.599129,  0.028989,  1.323828,  63557.175781, 
94.699127,  0.028985,  1.314334,  64016.437500, 
94.799126,  0.028981,  1.304909,  64479.019531, 
94.899124,  0.028977,  1.295551,  64944.945313, 
94.999123,  0.028974,  1.286260,  65414.238281, 
95.099121,  0.028970,  1.277036,  65886.921875, 
95.199120,  0.028966,  1.267878,  66363.023438, 
95.299118,  0.028963,  1.258786,  66842.562500, 
95.399117,  0.028959,  1.249759,  67325.562500, 
95.499115,  0.028955,  1.240796,  67812.054688, 
95.599113,  0.028952,  1.231898,  68302.062500, 
95.699112,  0.028948,  1.223064,  68795.609375, 
95.799110,  0.028945,  1.214293,  69292.726563, 
95.899109,  0.028941,  1.205585,  69793.437500, 
95.999107,  0.028938,  1.196939,  70297.765625, 
96.099106,  0.028934,  1.188356,  70805.734375, 
96.199104,  0.028931,  1.179834,  71317.375000, 
96.299103,  0.028927,  1.171373,  71832.710938, 
96.399101,  0.028924,  1.162973,  72351.773438, 
96.499100,  0.028921,  1.154633,  72874.585938, 
96.599098,  0.028917,  1.146353,  73401.179688, 
96.699097,  0.028914,  1.138132,  73931.578125, 
96.799095,  0.028911,  1.129970,  74465.804688, 
96.899094,  0.028908,  1.121866,  75003.890625, 
96.999092,  0.028904,  1.113821,  75545.867188, 
97.099091,  0.028901,  1.105834,  76091.757813, 
97.199089,  0.028898,  1.097903,  76641.593750, 
97.299088,  0.028895,  1.090030,  77195.406250, 
97.399086,  0.028892,  1.082213,  77753.218750, 
97.499084,  0.028889,  1.074452,  78315.062500, 
97.599083,  0.028885,  1.066747,  78880.968750, 
97.699081,  0.028882,  1.059097,  79450.960938, 
97.799080,  0.028879,  1.051502,  80025.070313, 
97.899078,  0.028876,  1.043962,  80603.328125, 
97.999077,  0.028873,  1.036475,  81185.765625, 
98.099075,  0.028870,  1.029042,  81772.414063, 
98.199074,  0.028867,  1.021663,  82363.296875, 
98.299072,  0.028864,  1.014336,  82958.453125, 
98.399071,  0.028861,  1.007062,  83557.906250, 
98.499069,  0.028859,  0.999840,  84161.695313, 
98.599068,  0.028856,  0.992670,  84769.843750, 
98.699066,  0.028853,  0.985551,  85382.390625, 
98.799065,  0.028850,  0.978483,  85999.359375, 
98.899063,  0.028847,  0.971467,  86620.789063, 
98.999062,  0.028844,  0.964500,  87246.710938, 
99.099060,  0.028842,  0.957583,  87877.156250, 
99.199059,  0.028839,  0.950716,  88512.156250, 
99.299057,  0.028836,  0.943898,  89151.742188, 
99.399055,  0.028833,  0.937129,  89795.953125, 
99.499054,  0.028831,  0.930409,  90444.820313, 
99.599052,  0.028828,  0.923737,  91098.375000, 
99.699051,  0.028825,  0.917112,  91756.648438, 
99.799049,  0.028823,  0.910535,  92419.679688, 
99.899048,  0.028820,  0.904006,  93087.500000, 
99.999046,  0.028818,  0.897523,  93760.148438, 
100.099045,  0.028815,  0.891086,  94437.656250, 
100.199043,  0.028812,  0.884696,  95120.062500, 
100.299042,  0.028810,  0.878352,  95807.398438, 
100.399040,  0.028807,  0.872053,  96499.703125, 
100.499039,  0.028805,  0.865799,  97197.007813, 
100.599037,  0.028802,  0.859590,  97899.351563, 
100.699036,  0.028800,  0.853426,  98606.773438, 
100.799034,  0.028797,  0.847306,  99319.304688, 
100.899033,  0.028795,  0.841229,  100036.984375, 
100.999031,  0.028793,  0.835197,  100759.851563, 
101.099030,  0.028790,  0.829207,  101487.937500, 
101.199028,  0.028788,  0.823261,  102221.289063, 
101.299026,  0.028786,  0.817357,  102959.937500, 
101.399025,  0.028783,  0.811495,  103703.921875, 
101.499023,  0.028781,  0.805676,  104453.281250, 
101.599022,  0.028779,  0.799898,  105208.062500, 
101.699020,  0.028776,  0.794162,  105968.296875, 
101.799019,  0.028774,  0.788467,  106734.023438, 
101.899017,  0.028772,  0.782813,  107505.281250, 
101.999016,  0.028769,  0.777199,  108282.109375, 
102.099014,  0.028767,  0.771625,  109064.554688, 
102.199013,  0.028765,  0.766092,  109852.656250, 
102.299011,  0.028763,  0.760598,  110646.453125, 
102.399010,  0.028761,  0.755143,  111445.984375, 
102.499008,  0.028758,  0.749728,  112251.289063, 
102.599007,  0.028756,  0.744352,  113062.414063, 
102.699005,  0.028754,  0.739014,  113879.398438, 
102.799004,  0.028752,  0.733714,  114702.289063, 
102.899002,  0.028750,  0.728452,  115531.125000, 
102.999001,  0.028748,  0.723228,  116365.953125, 
103.098999,  0.028746,  0.718042,  117206.812500, 
103.198997,  0.028744,  0.712893,  118053.750000, 
103.298996,  0.028742,  0.707780,  118906.804688, 
103.398994,  0.028740,  0.702704,  119766.023438, 
103.498993,  0.028738,  0.697665,  120631.453125, 
103.598991,  0.028736,  0.692662,  121503.132813, 
103.698990,  0.028734,  0.687695,  122381.109375, 
103.798988,  0.028732,  0.682763,  123265.429688, 
103.898987,  0.028730,  0.677867,  124156.140625,