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СÓã118

Òø³æ (СÓÐÃûÆø)

[ÇóÖú] MATLAB³ÌÐòµ÷Õû

function gaosi()
    i=1;
    for N=1:0.1:6
        [T,Y]=ode45(@last00,[0.001,1000],[0.0000001,0.0001])
        JI(i)=max(Y(:,1))
        JIm(i)=max(Y(:,2));
        NN(i)=N;
        i=i+1;
    end
plot(NN,JI)
xlabel('N');
ylabel('¦µ_{int}');
hold on;
end
function dy=last00(t,y)
dy=zeros(2,1);
dy(1)=dy(2);
dy(2)=y(2)*(1/60)*(1+4*(exp(-y(1)*0.05^(1/2))+exp(-y(1)*0.15^(1/2))+exp(-y(1)*0.25^(1/2))+...
    exp(-y(1)*0.35^(1/2))+exp(-y(1)*0.45^(1/2))+exp(-y(1)*0.55^(1/2))+exp(-y(1)*0.65^(1/2))+...
    exp(-y(1)*0.75^(1/2))+exp(-y(1)*0.85^(1/2))+exp(-y(1)*0.95^(1/2)))+2*(exp(-y(1)*0.1^(1/2))+...
    exp(-y(1)*0.2^(1/2))+exp(-y(1)*0.3^(1/2))+exp(-y(1)*0.4^(1/2))+exp(-y(1)*0.5^(1/2))+...
    exp(-y(1)*0.6^(1/2))+exp(-y(1)*0.7^(1/2))+exp(-y(1)*0.8^(1/2))+exp(-y(1)*0.9^(1/2)))+exp(-y(1)))-...
0.807*log(1/(N*N))/(0.7846+log(1/(N*N)))*y(2)*(1-(1-exp(2.6*y(1)))/(2.6*y(1)))-0.4117*0.1238/(0.7846+log(1/(N*N)))*y(2)-0.5891*0.1238/(0.7846+log(1/(N*N)))*y(2)*((1-exp(-30*y(1)))/(30*y(1)))-...
(1-0.1238/(0.7846+log(1/(N*N))))*y(2)-5.8e-16/(8*0.15)*7.444e15*0.1238/(0.7846+log(1/(N*N)))*30*y(2)*y(2)
end

ÔËÐнá¹ûΪ
??? Undefined function or variable 'N'.

Error in ==> gaosi>last00 at 18
dy(2)=y(2)*(1/60)*(1+4*(exp(-y(1)*0.05^(1/2))+exp(-y(1)*0.15^(1/2))+exp(-y(1)*0.25^(1/2))+...

Error in ==> funfun\private\odearguments at 110
f0 = feval(ode,t0,y0,args{:});   % ODE15I sets args{1} to yp0.

Error in ==> ode45 at 173
[neq, tspan, ntspan, next, t0, tfinal, tdir, y0, f0, odeArgs, odeFcn, ...

Error in ==> gaosi at 4
        [T,Y]=ode45(@last00,[0.001,1000],[0.0000001,0.0001])

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СÓã118

Òø³æ (СÓÐÃûÆø)

ÒýÓûØÌû:
2Â¥: Originally posted by luomia at 2012-11-10 09:12:24
ÄãµÄº¯Êý±í´ïʽdy=last00(t,y)ÀïÃæÐèÒª°Ñ²ÎÊý¼Ó½øÈ¥£¬dy=last00(t,y£¬N)£¬È»ºóÔÚode45(@last00,,)
ÀïÃæ°Ñ²ÎÊýÖµ´«µÝ¸ø±í´ïʽ£¬Õâ¸öÄã¿ÉÒÔ¿´¿´ODE45µÄhelpÎļþ¡£ÏÖÔÚµÄÕâ¸öº¯Êýû·¨´«µÝº¯ÊýµÄ²ÎÊýµ½ode45....

Âé·³°Ñ¸ÄºÃµÄ³ÌÐò·¢Ò»Ï¿ÉÒÔÂð£¿ÎÒ°ïͬѧÇóÖúµÄ£¬Ëû²»¶®¡°È»ºóÔÚode45(@last00,[0.001,1000],[0.0000001,0.0001])
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3Â¥2012-11-10 09:28:57
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luomia

ľ³æ (ÖøÃûдÊÖ)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¡ï
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dbb627: ½ð±Ò+1, »¶Ó­½»Á÷ 2012-11-12 08:56:50
ÄãµÄº¯Êý±í´ïʽdy=last00(t,y)ÀïÃæÐèÒª°Ñ²ÎÊý¼Ó½øÈ¥£¬dy=last00(t,y£¬N)£¬È»ºóÔÚode45(@last00,[0.001,1000],[0.0000001,0.0001])
ÀïÃæ°Ñ²ÎÊýÖµ´«µÝ¸ø±í´ïʽ£¬Õâ¸öÄã¿ÉÒÔ¿´¿´ODE45µÄhelpÎļþ¡£ÏÖÔÚµÄÕâ¸öº¯Êýû·¨´«µÝº¯ÊýµÄ²ÎÊýµ½ode45.
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2Â¥2012-11-10 09:12:24
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luomia

ľ³æ (ÖøÃûдÊÖ)

¡ï ¡ï
dbb627: ½ð±Ò+2, ллӦÖú£¡ 2012-11-12 08:57:05
ÒýÓûØÌû:
3Â¥: Originally posted by СÓã118 at 2012-11-10 09:28:57
Âé·³°Ñ¸ÄºÃµÄ³ÌÐò·¢Ò»Ï¿ÉÒÔÂð£¿ÎÒ°ïͬѧÇóÖúµÄ£¬Ëû²»¶®¡°È»ºóÔÚode45(@last00,,)
ÀïÃæ°Ñ²ÎÊýÖµ´«µÝ¸ø±í´ïʽ¡±µÄÒâ˼...

ode45(@last00,[0.001,1000],[0.0000001,0.0001])
ÀïÃæµÄº¯ÊýÌåÊÇ@last00£¬Õâ¸öº¯Êý´øÓвÎÊý£¬¿ÉÒÔ¿´Ò»ÏÂode45¹ØÓÚ´ø²ÎÊýº¯ÊýµÄʹÓ÷½·¨
ode45(@last00,[0.001,1000],[0.0000001,0.0001],N)
N¾ÍÊǶÔÓ¦µÄ²ÎÊý
Ò»´Î´ÎƼˮÏà·ê
4Â¥2012-11-10 10:56:31
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

luomia

ľ³æ (ÖøÃûдÊÖ)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¡ï ¡ï ¡ï ¡ï ¡ï ¡ï
СÓã118: ½ð±Ò+5, ¡ï¡ï¡ï¡ï¡ï×î¼Ñ´ð°¸, ·Ç³£¸Ðл£¬ÎÒͬѧ³É¹¦ÁË£¡ 2012-11-10 13:56:25
dbb627: ½ð±Ò+1, ¸ÐлӦÖú 2012-11-12 08:57:21
ÒýÓûØÌû:
4Â¥: Originally posted by luomia at 2012-11-10 10:56:31
ode45(@last00,,)
ÀïÃæµÄº¯ÊýÌåÊÇ@last00£¬Õâ¸öº¯Êý´øÓвÎÊý£¬¿ÉÒÔ¿´Ò»ÏÂode45¹ØÓÚ´ø²ÎÊýº¯ÊýµÄʹÓ÷½·¨
ode45(@last00,,,N)
N¾ÍÊǶÔÓ¦µÄ²ÎÊý...

³ÌÐòÈçÏ£¬,[0.001,1000],[0.0000001,0.0001]ÕâÁ½¸ö²ÎÊý¿ÉÄܲ»ÊǺܺÏÀí£¬¿ÉÒÔ×Ô¼ºµ÷Õûһϡ£
function gaosi()
    NN=1:0.1:6;
    JI=zeros(size(NN));
    JIm=zeros(size(NN));

    for i=1:length(NN)
        N=NN(i);
        [T,Y]=ode45(@last00,[0.01,100],[0.001,0.01],[],N);
        JI(i)=max(Y(:,1));
        JIm(i)=max(Y(:,2));
        
    end
plot(NN,JI)
xlabel('NN');
ylabel('¦µ_{int}');
hold on;

function dy=last00(t,y,N)

dy=[y(2);y(2)*(1/60)*(1+4*(exp(-y(1)*0.05^(1/2))+exp(-y(1)*0.15^(1/2))+exp(-y(1)*0.25^(1/2))+...
    exp(-y(1)*0.35^(1/2))+exp(-y(1)*0.45^(1/2))+exp(-y(1)*0.55^(1/2))+exp(-y(1)*0.65^(1/2))+...
    exp(-y(1)*0.75^(1/2))+exp(-y(1)*0.85^(1/2))+exp(-y(1)*0.95^(1/2)))+2*(exp(-y(1)*0.1^(1/2))+...
    exp(-y(1)*0.2^(1/2))+exp(-y(1)*0.3^(1/2))+exp(-y(1)*0.4^(1/2))+exp(-y(1)*0.5^(1/2))+...
    exp(-y(1)*0.6^(1/2))+exp(-y(1)*0.7^(1/2))+exp(-y(1)*0.8^(1/2))+exp(-y(1)*0.9^(1/2)))+exp(-y(1)))-...
0.807*log(1/(N*N))/(0.7846+log(1/(N*N)))*y(2)*(1-(1-exp(2.6*y(1)))/(2.6*y(1)))-0.4117*0.1238/(0.7846+log(1/(N*N)))*y(2)-0.5891*0.1238/(0.7846+log(1/(N*N)))*y(2)*((1-exp(-30*y(1)))/(30*y(1)))-...
(1-0.1238/(0.7846+log(1/(N*N))))*y(2)-5.8e-16/(8*0.15)*7.444e15*0.1238/(0.7846+log(1/(N*N)))*30*y(2)*y(2)];
end

end
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