微分方程数值解欧拉法

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1、-1.1、求解初值问题，已知精确解为当h=0.1时，解为：01100.10.9000000.9093629.3616E-030.20.8190480.8351051.6057E-020.30.7535180.7741552.0637E-020.40.7003910.7239462.3555E-020.50.6571650.6823472.5182E-020.60.6217750.6475982.5823E-020.70.5925260.6182492.5723E-020.80.5680340.5931142.5080E-020.90.5471770.57123

2、02.4053E-021.00.5290510.5518192.2768E-02当h=0.05时，解为：.---01100.050.9500000.9524182.4185E-030.100.9048780.9093624.4835E-030.150.8641580.8703916.2326E-030.200.8274060.8351057.6996E-030.250.7942230.8031388.9155E-030.300.7642470.7741559.9084E-030.350.7371470.7478501.0704E-020.400.7126210

3、.7239461.1324E-020.450.6903970.7021881.1791E-020.500.6702230.6823471.2124E-020.550.6518760.6642131.2338E-020.600.6351480.6475981.2450E-020.650.6198550.6323281.2473E-020.700.6058290.6182491.2420E-020.750.5929180.6052201.2302E-020.800.5809850.5931141.2129E-020.850.5699090.5818191.1909

4、E-020.900.5595790.5712301.1651E-020.950.5498960.5612581.1362E-021.000.5407710.5518191.1048E-02.---h=50时，解为：01100.020.9800000.9803953.9471E-040.040.9607920.9615587.6599E-040.060.9423450.9434601.1148E-030.080.9246280.9260701.4422E-030.100.9076130.9093621.7491E-030.120.8912700.8933062.

5、0363E-030.140.8755730.8778782.3048E-030.160.8604960.8630512.5553E-030.180.8460130.8488022.7888E-030.200.8321000.8351053.0058E-030.220.8187320.8219403.2073E-030.240.8058890.8092833.3938E-030.260.7935470.7971133.5662E-030.280.7816850.7854103.7250E-030.300.7702840.7741553.8709E-030.320

6、.7593230.7633284.0045E-030.340.7487840.7529114.1264E-030.360.7386490.7428864.2371E-030.380.7288990.7332364.3373E-030.400.7195180.7239464.4274E-030.420.7104900.7149984.5079E-030.440.7018000.7063794.5793E-030.460.6934310.6980734.6421E-030.480.6853710.6900674.6967E-030.500.6776030.6823

7、474.7435E-030.520.6701170.6749004.7830E-030.540.6628970.6677134.8156E-030.560.6559330.6607754.8415E-030.580.6492120.6540734.8613E-030.600.6427230.6475984.8751E-030.620.6364540.6413374.8835E-030.640.6303950.6352824.8866E-030.660.6245370.6294224.8848E-030.680.6188680.6237474.8784E-030

8、.700.6133810.618249