《计算方法》实验报告(附件)
专业及班级:机械0710 姓名：张玉成学号：U200710821 日期：2009.11.28 1.用牛顿迭代法求解下列方程的正根
log(1+x)-x^2=0 x=0.3696
运行结果：
输入：
Newt_1('shiyan1_1',1)
显示：
k= 1,x=6.10253e-001,y=-6.98970e-001,yd=-1.79339e+000
k= 2,x=4.38135e-001,y=-1.65515e-001,yd=-9.61634e-001
k= 3,x=3.79770e-001,y=-3.41626e-002,yd=-5.85330e-001
k= 4,x=3.70078e-001,y=-4.41870e-003,yd=-4.55917e-001
k= 5,x=3.69589e-001,y=-2.12618e-004,yd=-4.34323e-001
k= 6,x=3.69576e-001,y=-5.72632e-006,yd=-4.33231e-001
k= 7,x=3.69575e-001,y=-1.47599e-007,yd=-4.33202e-001
Final answer=3.695753e-001
ans =0.3696
e^x-5x^2 =0 x=4.7079
运行结果：
输入：Newt_1('shiyan1_2',5)
显示：
k= 1,x=4.76376e+000,y=2.34132e+001,yd=9.91077e+001
k= 2,x=4.71070e+000,y=3.71870e+000,yd=7.00861e+001
k= 3,x=4.70797e+000,y=1.76539e-001,yd=6.45306e+001
k= 4,x=4.70794e+000,y=1.76647e-003,yd=6.42528e+001
k= 5,x=4.70794e+000,y=1.39489e-005,yd=6.42500e+001
Final answer=4.707938e+000
ans =4.7079
x^3+2x-1=0 x=0.4534
运行结果：
输入：Newt_1('shiyan1_3',1)
显示：
k= 1,x=6.02394e-001,y=2.00000e+000,yd=5.03010e+000
k= 2,x=4.66118e-001,y=4.23383e-001,yd=3.10681e+000
k= 3,x=4.53549e-001,y=3.35069e-002,yd=2.66588e+000
k= 4,x=4.53398e-001,y=3.95932e-004,yd=2.63083e+000
k= 5,x=4.53398e-001,y=2.09360e-006,yd=2.63041e+000
Final answer=4.533977e-001
ans =0.4534
x+2)-x=0 x=2.0000
运行结果：
输入：Newt_1('shiyan1_4',1)
显示：
k= 1,x=2.02879e+000,y=7.32051e-001,yd=-7.11565e-001
k= 2,x=2.00002e+000,y=-2.16052e-002,yd=-7.51049e-001
k= 3,x=2.00000e+000,y=-1.72788e-005,yd=-7.50157e-001
k= 4,x=2.00000e+000,y=-3.60276e-009,yd=-7.50156e-001
Final answer=2.000000e+000
ans =2.0000
2.先用图解法确定初始点，然后再求方程x sin x −1 = 0 x ∈[0,10]的所有根。
y1=x.*sin(x);
y2=1;
图形：
运行结果：
输入：Newt_1('shiyan2',1)
显示：
k= 1,x=1.11463e+000,y=-1.58529e-001,yd=1.38292e+000
k= 2,x=1.11416e+000,y=6.61864e-004,yd=1.38810e+000
k= 3,x=1.11416e+000,y=-3.24115e-007,yd=1.38817e+000
Final answer=1.114157e+000
ans =1.1142
输入：Newt_1('shiyan2',3)
显示：k= 1,x=2.79702e+000,y=-5.76640e-001,yd=-2.84083e+000 k= 2,x=2.77312e+000,y=-5.51756e-002,yd=-2.30892e+000
k= 3,x=2.77261e+000,y=-1.14804e-003,yd=-2.24109e+000
k= 4,x=2.77260e+000,y=-7.70019e-006,yd=-2.23963e+000
k= 5,x=2.77260e+000,y=-4.91882e-008,yd=-2.23962e+000
Final answer=2.772605e+000
ans =2.7726
输入：Newt_1('shiyan2',7)
显示：
k= 1,x=6.39195e+000,y=3.59891e+000,yd=5.91873e+000
k= 2,x=6.43928e+000,y=-3.06178e-001,yd=6.46908e+000
k= 3,x=6.43912e+000,y=1.03000e-003,yd=6.52121e+000
k= 4,x=6.43912e+000,y=7.63884e-007,yd=6.52106e+000
Final answer=6.439117e+000
ans =6.4391
输入：Newt_1('shiyan2',9)
显示：k= 1,x=9.34662e+000,y=2.70907e+000,yd=-7.81559e+000 k= 2,x=9.31742e+000,y=-2.70260e-001,yd=-9.25348e+000
k= 3,x=9.31724e+000,y=-1.59253e-003,yd=-9.17140e+000
k= 4,x=9.31724e+000,y=-2.61235e-006,yd=-9.17089e+000
Final answer=9.317243e+000
ans =9.3172
2.飞机降落曲线：
