Matlab解决弗兰克—赫兹实验的实验数据处理.pdf
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Matlab解决弗兰克—赫兹实验的实验数据处理.pdf

Matlab解决弗兰克—赫兹实验的实验数据处理.pdf

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《数学实验》报告实验名称MATLAB与数学实验_学院专业班级姓名学号年月工科物理实验一、【作业题目】弗兰克—赫兹实验的实验数据处理;二、【作业程序】x=0:0.5:53;y=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.001,0.012,0.027,0.051,0.068,0.085,0.095,0.105,0.113,0.121,0.126,0.127,0.128,0.125,0.12,0.111,0.101,0.088,0.075,0.062,0.048,0.037,0.027,0.021,0.019,0.023,0.041,0.074,0.114,0.154,0.183,0.211,0.231,0.242,0.247,0.243,0.234,0.214,0.191,0.158,0.128,0.095,0.078,0.065,0.054,0.047,0.04,0.039,0.056,0.084,0.148,0.213,0.263,0.313,0.347,0.372,0.388,0.39,0.381,0.364,0.332,0.289,0.252,0.198,0.146,0.102,0.076,0.054,0.045,0.044,0.045,0.066,0.142,0.221,0.295,0.348,0.405,0.437,0.47,0.492,0.5,0.498,0.483,0.445,0.417,0.356,0.285];p2=polyfit(x,y,2)p7=polyfit(x,y,7)p10=polyfit(x,y,10)p20=polyfit(x,y,20)disp('二次拟合函数'),f2=poly2str(p2,'x')disp('七次拟合函数'),f7=poly2str(p7,'x')disp('十次拟合函数'),f10=poly2str(p10,'x')disp('二十次拟合函数'),f20=poly2str(p20,'x')x1=0:0.5:53;y2=polyval(p2,x1);y7=polyval(p7,x1);y10=polyval(p10,x1);y20=polyval(p20,x1);plot(x,y,'rp',x1,y2,'--',x1,y7,'bd',x1,y10,'y-.',x1,y20,'k-')三、【作业结果】p2=0.00010.00230.0025p7=-0.00000.0000-0.00000.0001-0.00240.0230-0.08540.0648p10=-0.00000.0000-0.00000.0000-0.00000.0001-0.00140.0112-0.04580.0727-0.0202p20=Columns1through130.0000-0.00000.0000-0.00000.0000-0.00000.00002-0.00000.0000-0.00000.0000-0.00000.0001Columns14through21-0.00120.0084-0.03980.1268-0.24730.2547-0.10070.0027二次拟合函数f2=8.8472e-05x^2+0.0023245x+0.0024688七次拟合函数f7=-2.4449e-10x^7+4.5621e-08x^6-3.3585e-06x^5+0.00012385x^4-0.0023934x^3+0.022986x^2-0.085418x+0.06481十次拟合函数f10=-8.8668e-14x^10+2.1806e-11x^9-2.2792e-09x^8+1.3223e-07x^7-4.6647e-06x^6+0.00010298x^5-0.0014065x^4+0.011236x^3-0.045832x^2+0.072654x-0.020234二十次拟合函数f20=7.7725e-26x^20-4.2453e-23x^19+1.0725e-20x^18-1.6619e-18x^17+1.7666e-16x^16-1.365e-14x^15+7.9243e-13x^14-3.5248e-11x^13+1.2142e-09x^12-3.2533e-08x^11+6.7733e-07x^10-1.0894e-05x^9+0.00013389x^8-0.0012359x^7+0.0083537x^6-0.039837x^5