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wyf1112

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[求助] MATLAB解隐函数已有2人参与

求三者之间的关系式，绘制三维网格平面图

1.jpg

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1楼 2015-04-11 07:34:37

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【答案】应助回帖

★ ★
感谢参与，应助指数 +1
wyf1112: 金币+2, ★有帮助 2015-04-12 13:17:25

CODE:

function solve_plot

clear all;clc

format long

global x y

xspan=linspace(0.32,0.65,20);

yspan=linspace(0.59,1.22,20);

m=length(xspan);

n=length(yspan);

options = optimset('Display','off');

for i=1:m

    x=xspan(i);

    for j=1:n

        y=yspan(j);

        z(i,j)=fsolve(@obj,0.01,options);

    end

end

z

[xx yy]=meshgrid(xspan,yspan);

figure(1),surf(xx./yy,yy,z)

function f=obj(z)

global x y

f=3/4/sqrt(z)+(2-x/y)-3*x*z/y/sqrt(y^2-3*z^2);

z =

  Columns 1 through 4

0.322684814043984 0.342530984101163 0.362324125988038 0.382069492615153
0.320524809771408 0.340450406721183 0.360318466136349 0.380134360371743
0.318240557591818 0.338247717623721 0.358193195431544 0.378082345355493
0.315834658628585 0.335924830415266 0.355949667453225 0.375914346316670
0.313310284804375 0.333484176660062 0.353589702411027 0.373631680166551
0.310671156081496 0.330928693000558 0.351115580997151 0.371236080891530
0.307921510353867 0.328261801994547 0.348530033354683 0.368729694237351
0.305066066446925 0.325487387203445 0.345836222768746 0.366115067535268
0.302109981464542 0.322609761414874 0.343037724473943 0.363395136642036
0.299058802645289 0.319633633575336 0.340138499984580 0.360573207033469
0.295918415582648 0.316564065520179 0.337142867268015 0.357652932507415
0.292694989276121 0.313406432322278 0.334055467664572 0.354638289961893
0.289394919740181 0.310166373874933 0.330881228451907 0.351533551216871
0.286024772633708 0.306849749110792 0.327625326627608 0.348343252363754
0.282591226679585 0.303462584301523 0.324293146428783 0.345072161087103
0.279101018383426 0.300011031431222 0.320890239440784 0.341725242514754
0.275560887357650 0.296501313847494 0.317422283071241 0.338307624141404
0.271977531049239 0.292939683847673 0.313895039667255 0.334824560366888
0.268357553448758 0.289332378255965 0.310314316639345 0.331281397166683
0.264707425962876 0.285685577452397 0.306685928128857 0.327683537381308

  Columns 5 through 8

0.401771798813304 0.421435250325467 0.441063586232397 0.460660125771815
0.399902996987010 0.419628812894435 0.439315794664576 0.458967511225711
0.397920168260423 0.417711260559529 0.437459805249153 0.457169585206288
0.395823842597918 0.415682824799120 0.435495608481023 0.455266143895368
0.393614923518240 0.413544070700822 0.433423492464885 0.453257249033140
0.391294691016274 0.411295901486989 0.431244048762404 0.451143234945741
0.388864799364249 0.408939559778189 0.428958175710207 0.448924712361857
0.386327272613777 0.406476626160015 0.426567079392913 0.446602571686591
0.383684496018413 0.403909014626664 0.424072271635963 0.444177982959545
0.380939203662302 0.401238965076703 0.421475566594554 0.441652394433216
0.378094463693026 0.398469032616319 0.418779073310919 0.439027528685793
0.375153659145297 0.395602074719081 0.415985186925478 0.436305376664269
0.372120466873827 0.392641234845375 0.413096577063967 0.433488189621533
0.368998833521806 0.389589924318840 0.410116174063369 0.430578469041229
0.365792949324673 0.386451801768224 0.407047153143837 0.427578954660687
0.362507220209504 0.383230750745740 0.403892916731833 0.424492610733122
0.359146238658051 0.379930855796470 0.400657075160731 0.421322610696318
0.355714753665273 0.376556377317359 0.397343426007361 0.418072320437236
0.352217640151674 0.373111725554498 0.393955932342134 0.414745280360051
0.348659868273611 0.369601434089251 0.390498700175275 0.411345186680419

  Columns 9 through 12

0.480227814759554 0.499769269160889 0.519286814786385 0.538782522698490
0.478587152259556 0.498177566420102 0.517741298586078 0.537280624088557
0.476844008835686 0.496486140763547 0.516098734092559 0.535684261870360
0.474998024593181 0.494694507491656 0.514358537323149 0.533992773718155
0.473049077024970 0.492802394225226 0.512520314481611 0.532205667877517
0.470997287910027 0.490809747864890 0.510583868787798 0.530322629858721
0.468843028567736 0.488716740315801 0.508549206386590 0.528343528316177
0.466586923555773 0.486523772776072 0.506416541127970 0.526268420033159
0.464229852608605 0.484231478890694 0.504186298178088 0.524097553938471
0.461772950792121 0.481840725990509 0.501859116388262 0.521831374090571
0.459217606830300 0.479352615123361 0.499435849368305 0.519470521574912
0.456565459591382 0.476768479376502 0.496917565225685 0.517015835271735
0.453818392747367 0.474089880643291 0.494305544948218 0.514468351464059
0.450978527646919 0.471318604823540 0.491601279424967 0.511829302268906
0.448048214468213 0.468456655491948 0.488806465117358 0.509100112888699
0.445030021743542 0.465506246176198 0.485922998409929 0.506282397693922
0.441926724370980 0.462469790761989 0.482952968687163 0.503377955162296
0.438741290249070 0.459349893637488 0.479898650199201 0.500388761713630
0.435476865688607 0.456149337470800 0.476762492794503 0.497316964492841
0.432136759770467 0.452871070585022 0.473547111805565 0.494164873166100

  Columns 13 through 16

0.558258240506240 0.577715619773631 0.597156139929323 0.616581129080041
0.556797579756702 0.576293991665742 0.595771499717051 0.615231579306442
0.555244946771204 0.574782788248282 0.594299587163518 0.613796967821574
0.553599617999085 0.573181238803356 0.592739595911473 0.612276462126140
0.551861023158296 0.571488710580660 0.591090844054200 0.610669342151198
0.550028751659893 0.569704714907958 0.589352779858805 0.608975005659853
0.548102558372946 0.567828912743752 0.587524987134445 0.607192973338943
0.546082368658193 0.565861119740778 0.585607190076946 0.605322893472668
0.543968282603938 0.563801310449092 0.583599257577156 0.603364546171726
0.541760578404067 0.561649621995059 0.581501206937241 0.601317847110404
0.539459714825711 0.559406356946110 0.579313206949257 0.599182850729972
0.537066332722620 0.557071985205196 0.577035580295161 0.596959752870323
0.534581255560049 0.554647145433143 0.574668805232996 0.594648892795991
0.532005488927244 0.552132645232114 0.572213516540189 0.592250754587456
0.529340219024703 0.549529460626334 0.569670505691696 0.589765967873953
0.526586810124744 0.546838734609646 0.567040720257991 0.587195307889720
0.523746801015565 0.544061774796112 0.564325262577116 0.584539694841774
0.520821900450585 0.541200050182816 0.561525387309267 0.581800192583680
0.517813981636258 0.538255187043825 0.558642498925680 0.578978006596369
0.514725075802492 0.535228963983400 0.555678147662324 0.576074481283739

  Columns 17 through 20

0.635991782093241 0.655389176343849 0.674774285208843 0.694147990292029
0.634675560347711 0.654104643941931 0.673519916977435 0.692922364826152
0.633276397586474 0.652739204230742 0.672186591277388 0.691619651537244
0.631793442963080 0.651291994381434 0.670773438666036 0.690238978476228
0.630225947363658 0.649762243842548 0.669279673414828 0.688779549987422
0.628573268548350 0.648149279102601 0.667704598068609 0.687240650836880
0.626834875896615 0.646452528196519 0.666047607713536 0.685621650199816
0.625010354909298 0.644671524964303 0.664308193953376 0.683922005452873
0.623099411306792 0.642805912998796 0.662485948710075 0.682141265769346
0.621101874723909 0.640855449254124 0.660580567710545 0.680279075474211
0.619017701958028 0.638820007280077 0.658591853665217 0.678335177137314
0.616846979735511 0.636699580050553 0.656519719104439 0.676309414378073
0.614589926964551 0.634494282356578 0.654364188845682 0.674201734357072
0.612246896446258 0.632204352737148 0.652125402066574 0.672012189931507
0.609818376019905 0.629830154924371 0.649803613961273 0.669740941453310
0.607304989122778 0.627372178782883 0.647399196960424 0.667388258190932
0.604707494749964 0.624831040727422 0.644912641498031 0.664954519358183
0.602026786804568 0.622207483606605 0.642344556311921 0.662440214736206
0.599263892834266 0.619502376045334 0.639695668268006 0.659845944877508
0.596419972155626 0.616716711242825 0.636966821702328 0.657172420884051

附图1.png

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MATLAB、MS小问题、普通问题请发帖求助！时间精力有限，恕不接受无偿私信求助。

3楼2015-04-11 11:29:33

已阅回复此楼关注TA 给TA发消息送TA红花 TA的回帖

普通回帖

WanderingHeart

铁杆木虫 (著名写手)

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注册: 2006-06-04
性别: GG
专业: 凝聚态物性 II ：电子结构

【答案】应助回帖

感谢参与，应助指数 +1

好像可以很简单的把x写作y和z的函数，然后你应该可以据此画出一个曲面，而在这个曲面上选择你需要的区间就可以了。

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2楼2015-04-11 11:29:14

已阅回复此楼关注TA 给TA发消息送TA红花 TA的回帖

月只蓝

主管区长 (职业作家)

专家经验: +1059
计算强帖: 8
应助: 1712 (讲师)
贵宾: 8.888
金币: 68137.7
散金: 1938
红花: 443
沙发: 4
帖子: 4373
在线: 3291.4小时
虫号: 1122189
注册: 2010-10-14
专业: 宇宙学
管辖: 计算模拟区

【答案】应助回帖

如果对MATLAB无感，可以用1stopt，代码更简单：
Title "Type your title here";
Parameters x[0.32,0.65],y[0.59,1.22],z;
StepX = 20;
StepY = 20;
PlotFunction 3/4/(sqrt(z))+(2-x/y)-3*x*z/y/(sqrt(y^2-3*z^2))=0;

计算结果：
x y z Residue of "3/4/(sqrt(z))+(2-x/y)-3*x*z/y/(sqrt(y^2-3*z^2))-(0)"
0.320000 0.590000 0.322685 0.0000
0.320000 0.621500 0.341540 0.0000
0.320000 0.653000 0.360347 0.0000
0.320000 0.684500 0.379111 0.0000
0.320000 0.716000 0.397835 0.0000
0.320000 0.747500 0.416523 0.0000
0.320000 0.779000 0.435179 0.0000
0.320000 0.810500 0.453805 0.0000
0.320000 0.842000 0.472404 0.0000
0.320000 0.873500 0.490979 0.0000
0.320000 0.905000 0.509531 0.0000
0.320000 0.936500 0.528062 0.0000
0.320000 0.968000 0.546575 0.0000
0.320000 0.999500 0.565070 0.0000
0.320000 1.031000 0.583549 0.0000
0.320000 1.062500 0.602014 0.0000
0.320000 1.094000 0.620464 0.0000
0.320000 1.125500 0.638902 0.0000
0.320000 1.157000 0.657328 0.0000
0.320000 1.188500 0.675743 0.0000
0.320000 1.220000 0.694148 0.0000
0.336500 0.590000 0.320636 0.0000
0.336500 0.621500 0.339563 0.0000
0.336500 0.653000 0.358438 0.0000
0.336500 0.684500 0.377265 0.0000
0.336500 0.716000 0.396050 0.0000
0.336500 0.747500 0.414795 0.0000
0.336500 0.779000 0.433504 0.0000
0.336500 0.810500 0.452181 0.0000
0.336500 0.842000 0.470828 0.0000
0.336500 0.873500 0.489448 0.0000
0.336500 0.905000 0.508043 0.0000
0.336500 0.936500 0.526615 0.0000
0.336500 0.968000 0.545166 0.0000
0.336500 0.999500 0.563698 0.0000
0.336500 1.031000 0.582212 0.0000
0.336500 1.062500 0.600709 0.0000
0.336500 1.094000 0.619191 0.0000
0.336500 1.125500 0.637658 0.0000
0.336500 1.157000 0.656113 0.0000
0.336500 1.188500 0.674555 0.0000
0.336500 1.220000 0.692985 0.0000
0.353000 0.590000 0.318475 0.0000
0.353000 0.621500 0.337475 0.0000
0.353000 0.653000 0.356420 0.0000
0.353000 0.684500 0.375314 0.0000
0.353000 0.716000 0.394161 0.0000
0.353000 0.747500 0.412966 0.0000
0.353000 0.779000 0.431732 0.0000
0.353000 0.810500 0.450462 0.0000
0.353000 0.842000 0.469159 0.0000
0.353000 0.873500 0.487827 0.0000
0.353000 0.905000 0.506467 0.0000
0.353000 0.936500 0.525082 0.0000
0.353000 0.968000 0.543673 0.0000
0.353000 0.999500 0.562244 0.0000
0.353000 1.031000 0.580794 0.0000
0.353000 1.062500 0.599326 0.0000
0.353000 1.094000 0.617841 0.0000
0.353000 1.125500 0.636340 0.0000
0.353000 1.157000 0.654824 0.0000
0.353000 1.188500 0.673295 0.0000
0.353000 1.220000 0.691753 0.0000
0.369500 0.590000 0.316203 0.0000
0.369500 0.621500 0.335279 0.0000
0.369500 0.653000 0.354295 0.0000
0.369500 0.684500 0.373258 0.0000
0.369500 0.716000 0.392170 0.0000
0.369500 0.747500 0.411036 0.0000
0.369500 0.779000 0.429861 0.0000
0.369500 0.810500 0.448646 0.0000
0.369500 0.842000 0.467397 0.0000
0.369500 0.873500 0.486114 0.0000
0.369500 0.905000 0.504802 0.0000
0.369500 0.936500 0.523461 0.0000
0.369500 0.968000 0.542096 0.0000
0.369500 0.999500 0.560706 0.0000
0.369500 1.031000 0.579295 0.0000
0.369500 1.062500 0.597864 0.0000
0.369500 1.094000 0.616414 0.0000
0.369500 1.125500 0.634946 0.0000
0.369500 1.157000 0.653463 0.0000
0.369500 1.188500 0.671964 0.0000
0.369500 1.220000 0.690451 0.0000
0.386000 0.590000 0.313824 0.0000
0.386000 0.621500 0.332975 0.0000
0.386000 0.653000 0.352065 0.0000
0.386000 0.684500 0.371097 0.0000
0.386000 0.716000 0.390076 0.0000
0.386000 0.747500 0.409007 0.0000
0.386000 0.779000 0.427892 0.0000
0.386000 0.810500 0.446735 0.0000
0.386000 0.842000 0.465540 0.0000
0.386000 0.873500 0.484310 0.0000
0.386000 0.905000 0.503047 0.0000
0.386000 0.936500 0.521753 0.0000
0.386000 0.968000 0.540432 0.0000
0.386000 0.999500 0.559086 0.0000
0.386000 1.031000 0.577715 0.0000
0.386000 1.062500 0.596322 0.0000
0.386000 1.094000 0.614909 0.0000
0.386000 1.125500 0.633477 0.0000
0.386000 1.157000 0.652027 0.0000
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4楼2015-04-11 11:43:22

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3楼: Originally posted by 月只蓝 at 2015-04-11 11:29:33
function solve_plot
clear all;clc
format long
global x y
xspan=linspace(0.32,0.65,20);
yspan=linspace(0.59,1.22,20);
m=length(xspan);
n=length(yspan);

options = optimset('Display','off');
...

也就是说无法写出z与x/y和y的关系？

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5楼2015-04-12 08:45:41

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wyf1112

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5楼: Originally posted by wyf1112 at 2015-04-12 08:45:41
也就是说无法写出z与x/y和y的关系？...

计算出错啊

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6楼2015-04-12 10:14:17

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月只蓝

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引用回帖:

5楼: Originally posted by wyf1112 at 2015-04-12 08:45:41
也就是说无法写出z与x/y和y的关系？...

只能写成隐函数的形式

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7楼2015-04-12 11:29:53

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7楼: Originally posted by 月只蓝 at 2015-04-12 11:29:53
只能写成隐函数的形式...

为什么运算时出现这样的情况呢？
??? function solve_plot
|
Error: Function definitions are not permitted at the prompt or in scripts.

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8楼2015-04-12 13:54:02

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★ ★ ★
wyf1112: 金币+1, ★有帮助 2015-04-12 15:53:53
wyf1112: 金币+2 2015-04-12 16:45:16

引用回帖:

8楼: Originally posted by wyf1112 at 2015-04-12 13:54:02
为什么运算时出现这样的情况呢？
??? function solve_plot
|
Error: Function definitions are not permitted at the prompt or in scripts....

所有代码完全进一个m文件运行

[ 发自小木虫客户端 ]

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9楼2015-04-12 15:38:21

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