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dCAdt =-k(1)*C(1)-k(2)*C(1)-k(3)*C(1);                  
dCBdt =k(1)*C(1)-k(4)*C(2)-k(5)*C(2);
dCCdt =k(2)*C(1)+k(4)*C(2)-k(6)*C(3);
dCDdt =k(3)*C(1)+k(5)*C(2)+k(6)*C(3);
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fegg7502: ½ð±Ò+1, ¹ÄÀø½»Á÷ 2014-06-24 08:37:01
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2Â¥: Originally posted by dingd at 2014-06-22 22:15:49
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format long
clear all
clc
tspan = [0  10  20  30  40  50  60 70  80  90  100  110  120];
x0 = [0.877667262        0.188437508        0.069051676        0.067639913];
k0 = [0  0  0  0  0  0];  
lb = [0  0  0  0  0  0];
ub = [+inf +inf +inf +inf +inf +inf];

data=[
0.683038504        0.34538674        0.138009043        0.135964027
0.398422967        0.413279625        0.203080312        0.189874719
0.266300405        0.468253074        0.289896419        0.348481733
0.142059055        0.397710816        0.305786676        0.424846321
0.068339284        0.34043909        0.335003128        0.497043462
0.049669997        0.312376889        0.351124377        0.609259358
0.025110016        0.237590973        0.335397788        0.723901322
0.012801963        0.197342301        0.32083196        0.736810004
0.005763427        0.156055501        0.306141448        0.834373408
0.002640872        0.10259385        0.238964753        0.755687994
0.001332663        0.091170321        0.248694235        0.903738353
0.004102735        0.066072318        0.220813975        0.917511998
];
yexp = data(:,1:4);

[k,resnorm,residual,exitflag,output,lambda,jacobian] =...
lsqnonlin(@ObjFunc,k0,lb,ub,[],tspan,x0,yexp);            
ci = nlparci(k,residual,jacobian);                          
fprintf('\n\nʹÓú¯Êýlsqnonlin()¹À¼ÆµÃµ½µÄ²ÎÊýֵΪ:\n')      
fprintf('\tk1 = %.9f ¡À %.9f\n',k(1),ci(1,2)-k(1))         
fprintf('\tk2 = %.9f ¡À %.9f\n',k(2),ci(2,2)-k(2))  
fprintf('\tk3 = %.9f ¡À %.9f\n',k(3),ci(3,2)-k(3))  
fprintf('\tk4 = %.9f ¡À %.9f\n',k(4),ci(4,2)-k(4))  
fprintf('\tk5 = %.9f ¡À %.9f\n',k(5),ci(5,2)-k(5))  
fprintf('\tk6 = %.9f ¡À %.9f\n',k(6),ci(6,2)-k(6))  
%fprintf('\tk7 = %.9f ¡À %.9f\n',k(7),ci(7,2)-k(7))
%fprintf('\tk8 = %.9f ¡À %.9f\n',k(8),ci(8,2)-k(8))
%fprintf('\tk9 = %.9f ¡À %.9f\n',k(9),ci(9,2)-k(9))
%fprintf('\tk10 = %.9f ¡À %.9f\n',k(10),ci(10,2)-k(10))
fprintf('The sum of the squares is: %.9e\n\n',resnorm)

function f = ObjFunc(k,tspan,x0,yexp)                          
[t, Xsim] = ode45(@KineticsEqs,tspan,x0,[],k);
Xsim1=Xsim(:,1);
Xsim2=Xsim(:,2);
Xsim3=Xsim(:,3);
Xsim4=Xsim(:,4);
%Xsim5=Xsim(:,5);
%Xsim6=Xsim(:,6);
ysim(:,1) = Xsim1(2:end);
ysim(:,2) = Xsim2(2:end);
ysim(:,3) = Xsim3(2:end);
ysim(:,4) = Xsim4(2:end);
%ysim(:,5) = Xsim5(2:end);
%ysim(:,6) = Xsim6(2:end);
size(ysim(:,1));
size(ysim(:,2));
size(ysim(:,3));
size(ysim(:,4));
%size(ysim(:,5));
%size(ysim(:,6));
size(yexp(:,1));
size(yexp(:,2));
size(yexp(:,3));
size(yexp(:,4));
%size(yexp(:,5));
%size(yexp(:,6));
f = [(ysim(:,1)-yexp(:,1)) (ysim(:,2)-yexp(:,2)) (ysim(:,3)-yexp(:,3)) (ysim(:,4)-yexp(:,4)) ];%(ysim(:,5)-yexp(:,5))


function dCdt = KineticsEqs(t,C,k)                             
dCAdt =-k(1)*C(1)-k(2)*C(1)-k(3)*C(1);                       
dCBdt =k(1)*C(1)-k(4)*C(2)-k(5)*C(2);
dCCdt =k(2)*C(1)+k(4)*C(2)-k(6)*C(3);
dCDdt =k(3)*C(1)+k(5)*C(2)+k(6)*C(3);
dCdt = [dCAdt; dCBdt;dCCdt;dCDdt];
4Â¥2014-06-23 00:09:40
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
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