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Title Kinetic_ave
Parameters k1[0,100], k2[0,100];
Variable t, C;

StartProgram
var i:integer;

begin
for i:=0 to DataLength -1 do begin
      if i ==0
         C=0;
         else
      C:=C[i-1]+k1*(t-t[i-1])*exp(-0.2779*t) - k2*C*(t-t[i-1]);
         end;
EndProgram;
Data;
//t    C
   0    xxx
   1    xxx
   2    xxx
   4    xxx
   6    xxx
   10  xxx
   15  xxx
   24  xxx


Matlab´úÂ룺
function ODE_ave
clear all;clc
format long
aveall;
t=T_h(;
yexp=OLEave(;

k0=[1 1];  

y0=0;
lb=[0 0];
ub=[+inf +inf];   
yy=[y0 yexp'];

tspan=0:1:24;

[k,resnorm,residual,exitflag,output,lambda,jacobian] = ...
    lsqnonlin(@ObjFunc,k0,lb,ub,[],tspan,y0,yexp);
fprintf('\n\nʹÓú¯Êýlsqnonlin()¹À¼ÆµÃµ½µÄ²ÎÊýֵΪ:\n')
fprintf('\t´ýÄâºÏ²ÎÊý k1 = %.6f\n',k(1))
fprintf('\t´ýÄâºÏ²ÎÊý k2 = %.6f\n',k(2))
fprintf(' \t²Ð²îƽ·½ºÍ= %.6f\n\n',resnorm)
ts=0:1:24;

[ts ys]=ode45(@KineticsEqs,ts,y0,[],k);
[ttt XXsim] = ode45(@KineticsEqs,tspan,y0,[],k);
y=XXsim(2:end);
xexp=yexp;
R2=1-sum((xexp-y).^2)./sum((xexp-mean(y)).^2);
fprintf('\n\t¾ö¶¨ÏµÊýR-Square = %.6f',R2);
figure(1)
plot(ts,ys,'b',tspan,yy,'or'),legend('¼ÆËãÖµ','ʵÑéÖµ','Location','best');
yr=y-yexp;
figure(2)
plot(tspan(2:end),yr,'r*',[-1 15],[0 0]),axis([-1 15 -0.5 0.5]);
figure(3)
plot(yexp,y,'ro',[21 29],[21 29],'b-');
(×÷ͼÕâ¿é¶ùÊÇcopyµÄ£¬Ã»ÓÐ×öÐÞ¸Ä)
%---------------------------------------------------------
function f = ObjFunc(k,tspan,y0,yexp)           
[t Xsim] = ode45(@KineticsEqs,tspan,y0,[],k) ;
ysim = Xsim(2:end);
size(ysim);
size(yexp);
f=ysim(1,1)+ysim(2,1)+ysim(4,1)+ysim(6,1)+ysim(10,1)+ysim(15,1)+ysim(24,1) - sum(yexp(:,1));
%----------------------------------------------------------

function dydt = KineticsEqs(t,y,k)
beta(1)=k(1);
beta(2)=k(2);
dydt = beta(1)*exp(-0.2779*t)-beta(2)*y;

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