Blasius方程的数值解matlab程序Word文档下载推荐.doc
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程序执行完毕。
得到数值解图像
需要完整数值解，可在命令窗口执行
>
[t,y]
ans=
0000.332050425572608
0.2000000000000000.0066406847857570.0664064190007350.331976930281647
0.4000000000000000.0265592724911030.1327613973480840.331462940642616
0.6000000000000000.0597300613687400.1989342481540270.330072803333863
0.8000000000000000.1060972955378420.2647059995571820.327381783215304
1.0000000000000000.1655630308847090.3297737923612960.322998326329412
1.2000000000000000.2379442372687800.3937674819581910.316583378968660
1.4000000000000000.3229688368951930.4562584560706150.307858224411080
1.6000000000000000.4202943904016780.5167580586411450.296652046000281
1.8000000000000000.5294908391591200.5747519024337040.282921170876929
2.0000000000000000.6500090694701540.6297515231340940.266750311286562
2.2000000000000000.7811822070295200.6812962493004080.248352130535080
2.4000000000000000.9222728056314760.7289734807030940.228082678389961
2.6000000000000001.0724798222828610.7724470697584080.206450263528860
2.8000000000000001.2309501374214950.8114975840686250.184014296855294
3.0000000000000001.3967879095445580.8460296386569050.161369816626103
3.2000000000000001.5690699253450890.8760707526453200.139126737097636
3.4000000000000001.7469154487035860.9017600525255140.117863021963319
3.6000000000000001.9294876861519370.9233315164928120.098081245701445
3.8000000000000002.1160004034510310.9411092427556170.080139603642537
4.0000000000000002.3057193897850770.9555059580929050.064250507286456
4.2000000000000002.4980051682669550.9669559021448410.050519855519064
4.4000000000000002.6923282496160700.9758675850986780.038977900754526
4.6000000000000002.8882185732850130.9826747519817110.029499001922806
4.8000000000000003.0852829165367120.9877958568329080.021859471891081
5.0000000000000003.2832378195729690.9915456498326390.015900519799442
5.1999999999999993.4818387609016070.9942360903768370.011361976112965
5.4000000000000003.6808868432804850.9961530675400220.007933845886624
5.6000000000000003.8802589909031930.9974749309396950.005439882672210
5.8000000000000004.0798506041197960.9983722945980170.003657568419394
6.0000000000000004.2795889371535250.9989716023318460.002407067561230
6.1999999999999994.4794254608023780.9993613586634180.001555212097374
6.4000000000000004.6793245667901770.9996114936251530.000983390226568
6.6000000000000004.8792638411282270.9997679250728730.000610241632299
6.8000000000000005.0792278579105120.9998642056028700.000370938799775
7.0000000000000005.2792069916857190.9999222231417720.000220942955724
7.2000000000000005.4791951859411130.9999563977383570.000129191951169
7.4000000000000005.6791886128001270.9999762929671100.000073770638928
7.6000000000000005.8791851213661380.9999874576967800.000041576427492
7.8000000000000006.0791832861942990.9999937774180380.000022702183282
8.0000000000000006.2791824324459440.9999971163979160.000012416083429
8.1999999999999996.4791820464355970.9999989986192810.000006410840147
8.4000000000000006.6791819596757440.9999999086952430.000003431483786
8.6000000000000006.8791819969198921.0000004088733780.000001736982564
8.8000000000000017.0791821042849741.0000006683416040.000000832235283
9.0000000000000007.2791822572191481.0000007653700940.000000489499078
查看叠代过程，可在命令窗口执行
Y
Y=
0.3000000000000000.4000000000000000.3331153697266140.332050425572608
x
x=
0.9345673820190331.1321572580226841.0021378204450411.000000765370094
%Y表示时的值，x表示（实际为9）时对应下的值。
从中可以看到趋近过程。
数值解和精确解的比较
数值解
精确解
0.332050425572608
0.33206
1
0.165563030884709
0.16577
0.329773792361296
0.32979
0.322998326329412
0.32301
2
0.650009069470154
0.65003
0.629751523134094
0.62977
0.266750311286562
0.26675
3
1.396787909544558
1.39682
0.846029638656905
0.84605
0.161369816626103
0.16136
4
2.305719389785077
2.30576
0.955505958092905
0.95552
0.064250507286456
0.06423
5
3.283237819572969
3.28329
0.991545649832639
0.99115
0.015900519799442
0.01591
6
4.279588937153525
4.27964
0.998971602331846
0.99868
0.002407067561230
0.0
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