八、参考文献
《高等数学》第六版上、下册 同济大学数学系 编 《MATLAB基础与应用教程》 蔡旭晖 刘卫国 蔡立燕 编 《数学建模于数学实验》第二版 赵静 但琦 编 《高等数学竞赛与提高》 毛京中 编
九、附录
Matlab程序代码为： x=[0:0.01:1]
>> y=2./3-(1-x).^(1./2)+(1./3)*(1-x).^(3./2) %由微分方程的到y与x的函数关系式
>> t=60.*(2./3-(1./2).*(1-x).^(1./2)-(1./6).*(1-x).^(3./2))./0.45 %由微分方程得到t与x的关系式。t单位s
得到数据如下表：
时间T鱼雷的横标x鱼雷的纵坐标 （s) （海里） y（海里） -0.0000 0.0000 -0.0000 0.6667 0.0100 0.0000 1.3334 0.0200 0.0001 2.0001 0.0300 0.0002 2.6668 0.0400 0.0004 3.3337 0.0500 0.0006 4.0006 0.0600 0.0009 4.6677 0.0700 0.0013 5.3348 0.0800 0.0016 6.0022 0.0900 0.0021 6.6697 0.1000 0.0026 7.3374 0.1100 0.0031 8.0053 0.1200 0.0038 8.6734 0.1300 0.0044 9.3419 0.1400 0.0051 10.0106 0.1500 0.0059 10.6796 0.1600 0.0068 11.3490 0.1700 0.0077 12.0187 0.1800 0.0086
12.6889 13.3595 14.0305 14.7021 15.3742 16.0468 16.7201 17.3940 18.0686 0.1900 0.2000 0.2100 0.2200 0.2300 0.2400 0.2500 0.2600 0.2700 0.0097 0.0108 0.0119 0.0131 0.0144 0.0157 0.0171 0.0186 0.0202 18.7439 19.4200 20.0968 20.7746 21.4532 22.1328 22.8134 23.4950 24.1778 24.8617 25.5469 26.2333 26.9212 27.6104 28.3012 28.9935 29.6876 30.3833 31.0809 31.7805 32.4820 33.1857 33.8917 34.6000 35.3108 36.0242 36.7403 37.4593 38.1814 38.9066 39.6353 40.3674 41.1034 41.8432 42.5873 0.2800 0.2900 0.3000 0.3100 0.3200 0.3300 0.3400 0.3500 0.3600 0.3700 0.3800 0.3900 0.4000 0.4100 0.4200 0.4300 0.4400 0.4500 0.4600 0.4700 0.4800 0.4900 0.5000 0.5100 0.5200 0.5300 0.5400 0.5500 0.5600 0.5700 0.5800 0.5900 0.6000 0.6100 0.6200 0.0218 0.0235 0.0252 0.0271 0.0290 0.0309 0.0330 0.0351 0.0373 0.0396 0.0420 0.0445 0.0470 0.0496 0.0523 0.0551 0.0580 0.0610 0.0641 0.0673 0.0705 0.0739 0.0774 0.0810 0.0847 0.0885 0.0924 0.0965 0.1006 0.1049 0.1093 0.1139 0.1185 0.1234 0.1283
43.3358 44.0889 44.8470 45.6103 46.3791 47.1539 47.9349 48.7226 49.5174 50.3197 51.1302 51.9493 52.7778 53.6162 54.4655 55.3264 56.1998 57.0870 57.9891 58.9076 59.8439 60.8000 61.7780 62.7804 63.8103 64.8711 65.9673 67.1043 68.2889 69.5299 70.8390 72.2324 73.7333 75.3778 77.2264 79.3979 82.2000 88.8889
0.6300 0.6400 0.6500 0.6600 0.6700 0.6800 0.6900 0.7000 0.7100 0.7200 0.7300 0.7400 0.7500 0.7600 0.7700 0.7800 0.7900 0.8000 0.8100 0.8200 0.8300 0.8400 0.8500 0.8600 0.8700 0.8800 0.8900 0.9000 0.9100 0.9200 0.9300 0.9400 0.9500 0.9600 0.9700 0.9800 0.9900 1.0000 0.1334 0.1387 0.1441 0.1497 0.1554 0.1613 0.1674 0.1737 0.1802 0.1869 0.1938 0.2010 0.2083 0.2160 0.2239 0.2320 0.2405 0.2493 0.2584 0.2679 0.2777 0.2880 0.2987 0.3100 0.3217 0.3341 0.3472 0.3610 0.3757 0.3914 0.4083 0.4266 0.4468 0.4693 0.4952 0.5262 0.5670 0.6667
>> x=[0:0.01:1]
%取x从0到1逐渐增加。间隔0.01 x =
Columns 1 through 8
0 0.0100 0.0200 0.0300 0.0400 0.0500 0.0600 0.0700
Columns 9 through 16
0.0800 0.0900 0.1000 0.1100 0.1200 0.1300 0.1400 0.1500
Columns 17 through 24
0.1600 0.1700
Columns 25 through 32
0.2400 0.2500
Columns 33 through 40
0.3200 0.3300
Columns 41 through 48
0.4000 0.4100
Columns 49 through 56
0.4800 0.4900
Columns 57 through 64
0.5600 0.5700
Columns 65 through 72
0.6400 0.6500
Columns 73 through 80
0.7200 0.7300
Columns 81 through 88
0.8000 0.8100 0.1800 0.1900 0.2600 0.2700 0.3400 0.3500 0.4200 0.4300 0.5000 0.5100 0.5800 0.5900 0.6600 0.6700 0.7400 0.7500 0.8200 0.8300 0.2000 0.2100 0.2800 0.2900 0.3600 0.3700 0.4400 0.4500 0.5200 0.5300 0.6000 0.6100 0.6800 0.6900 0.7600 0.7700 0.8400 0.8500 0.2200 0.2300 0.3000 0.3100 0.3800 0.3900 0.4600 0.4700 0.5400 0.5500 0.6200 0.6300 0.7000 0.7100 0.7800 0.7900 0.8600 0.8700
Columns 89 through 96
0.8800 0.8900 0.9000 0.9100 0.9200 0.9300 0.9400 0.9500
Columns 97 through 101
0.9600 0.9700 0.9800 0.9900 1.0000
>> y=2./3-(1-x).^(1./2)+(1./3)*(1-x).^(3./2) %由微分方程的到y与x的函数关系式 y =
Columns 1 through 8
-0.0000 0.0000 0.0001 0.0002
Columns 9 through 16
0.0016 0.0021 0.0026 0.0031
Columns 17 through 24
0.0068 0.0077 0.0086 0.0097
Columns 25 through 32
0.0157 0.0171 0.0186 0.0202
Columns 33 through 40
0.0290 0.0309 0.0330 0.0351
Columns 41 through 48
0.0470 0.0496 0.0523 0.0551
Columns 49 through 56
0.0705 0.0739 0.0774 0.0810
Columns 57 through 64
0.0004 0.0006 0.0038 0.0044 0.0108 0.0119 0.0218 0.0235 0.0373 0.0396 0.0580 0.0610 0.0847 0.0885 0.0009 0.0013 0.0051 0.0059 0.0131 0.0144 0.0252 0.0271 0.0420 0.0445 0.0641 0.0673 0.0924 0.0965
鱼雷击舰模型解答完整版-ZG
