常微分方程数值解实验报告(1)

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1、常微分数值解实验报告《常微分方程数值解》实验报告姓名：张彬班级：信计092学号：09092902296常微分数值解实验报告实验目的：1．熟练编程技巧，体会Runge-kutta方法。2．与前面的实验方法进行对比，了解数值计算方法区别和联系。实验内容：；求满足初值条件x=2，y=2的解。x∈[0,2]步长h=0.05，并通过数值与图像进行比较。实验原理：取四阶Runge-kutta方法进行计算实验结果：四阶龙格库塔表1自变量龙格库塔精确解误差估计02200.052.1038132.10381306常微分数值解实验报告0.12.2155

2、082.215509-1E-060.152.3354812.33548100.22.4641392.46413900.252.6019052.60190500.32.7492192.74921900.352.9065342.90653400.43.0743223.07432200.453.2530743.25307400.53.4432993.44329900.553.6455273.64552700.63.8603083.86030800.654.0882174.08821700.74.3298524.32985200.754.5

3、858364.58583600.84.8568214.85682100.855.1434855.14348500.95.4465395.44653900.955.7667245.766725-1E-0616.1048186.10481801.056.461636.461631-1E-061.16.8380136.83801301.157.2348567.234857-1E-061.27.6530937.653094-1E-061.258.0937038.093704-1E-061.38.5577128.557713-1E-061.3

4、59.0461989.046199-1E-061.49.5602919.56029101.4510.1011810.1011801.510.6701110.6701101.5511.2683911.2683901.611.8973911.8973901.6512.5585812.5585801.713.2534613.2534601.7513.9836413.9836401.814.7507914.7508-1E-051.8515.556715.55671-1E-051.916.4032316.4032301.9517.292331

5、7.292330218.2260618.2260606常微分数值解实验报告6常微分数值解实验报告6常微分数值解实验报告实验体会：6