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zhangluyoa

银虫 (初入文坛)

[求助] 求解扩散方程问题

有一个方程如图
源码是
function AA
D0=3.55e-19;
options=optimset('tolx',1e-9);
[D,resnorm,residual,exitflag,output,lambda,jacobian] = lsqnonlin(@fei,D0,[],[],options)

function F=fei(D)
C0=0.687;
d=0.02;
Ceq=20;
t=60;
C=4.136;
m=1-(C0-C)/(C0-Ceq);
s=[];
k=0:1000;
s=sum(8./(pi*(2*k+1)).^2.*exp(-D*(pi*(2*k+1)).^2*t*60/(d^2)));
s
F=sum((m-s').^2);


而得到的结果怎么也不对 如下
得到的D值怎么都是跟赋的D0值是一样的额
s =

    0.9998


s =

    0.2158


s =

   Inf


s =

    0.2447


s =

   Inf


s =

    0.2161

Optimization terminated: norm of the current step is less
than OPTIONS.TolX.

D =

  3.5500e-019


resnorm =

    0.0010


residual =

    0.0318


exitflag =

     2


output =

    firstorderopt: 7.1546e+005
       iterations: 2
        funcCount: 6
     cgiterations: 1
        algorithm: 'large-scale: trust-region reflective Newton'
          message: [1x77 char]


lambda =

    lower: 0
    upper: 0


jacobian =

   (1,1)     2.2480e+007
到底怎么弄得,小弟是菜鸟,希望有高手跟好心人帮我5555
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luyao_zhang

银虫 (初入文坛)

【答案】应助回帖

★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★
zhangluyoa: 金币+44, ★★★★★最佳答案, 终于解决了 2013-07-16 17:35:01
xiegangmai: 金币+2, 谢谢参与! 2013-07-24 21:03:08
精度太小,已经小于计算机优化精度,所以优化计算停止,把D 增大10^8倍,方程中减小10^8倍,可顺利求解

D0=3.55;

[D,resnorm,residual,exitflag,output,lambda,jacobian] = lsqnonlin(@fei,D0,[],[])

function F=fei(D)
C0=0.687;
d=0.02;
Ceq=20;
t=60;
C=4.136;
m=1-(C0-C)/(C0-Ceq);
s=[];
k=0:1000;
s=sum(8./(pi*(2*k+1)).^2.*exp(-D*0.00000001*(pi*(2*k+1)).^2*t*60/(d^2)));
s
F=sum((m-s').^2);




结果
D =

   0.04933156266209


resnorm =

    1.200260299201833e-008

D就等于4.93e-10
热爱痛苦
9楼2013-07-16 17:34:30
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ya634984094

铜虫 (小有名气)

感谢参与,应助指数 +1
臭水沟: 应助指数-1, 非应助贴请不要选择“应助回帖”~ 2012-04-03 14:47:18
你这是用uds编的输出吗??
2楼2012-04-03 10:54:59
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zhangluyoa

银虫 (初入文坛)

引用回帖:
2楼: Originally posted by ya634984094 at 2012-04-03 10:54:59:
你这是用uds编的输出吗??

什么是ubs啊,用的是matlab,我是菜鸟
3楼2012-04-03 11:35:39
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ya634984094

铜虫 (小有名气)

【答案】应助回帖

★
臭水沟: 金币+1, 谢谢交流~~ 2012-04-04 11:15:14
引用回帖:
3楼: Originally posted by zhangluyoa at 2012-04-03 11:35:39:
什么是ubs啊,用的是matlab,我是菜鸟

呃~~matlab我不是很熟,uds是fluent用来求解方程的~~
4楼2012-04-03 12:34:11
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