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2011207156½ð³æ (СÓÐÃûÆø)
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function butongshike201506171 clear all;clc format long tspan=(0:10:390); yexp=[0.046125761496241 0.078139373146412 0.117158327134899 0.159846402230616 0.199412869433285 0.231111460229405 0.259814231746068 0.282697037233637 0.306493661349134 0.326396561089024 0.345295684999190 0.360444423309371 0.377418750129898 0.395250807577438 0.414965633800510 0.430017989495138 0.445923212579888 0.457995753035510 0.469186259425871 0.480284344291621 0.491524402631167 0.501658351934599 0.510935126510884 0.520202070112304 0.531309455870521 0.537782255717000 0.547944130180314 0.558094213007469 0.565468701311900 0.573757577102420 0.581007002009939 0.589392949772071 0.597541754780127 0.607751809867969 0.613129267171725 0.620580135887054 0.626072239599544 0.632475341850705 0.638742438783615]; beta0=[67971 0.000839]; y0=0; lb=[-1 -1]*1e6; ub=[1e9 1e9]; yy=[0 yexp']; k0=beta0; [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(' ²Ð²îƽ·½ºÍ= %.6f\n\n',resnorm) ts=0:10:max(tspan); [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'); xlabel('x'),ylabel('y') %--------------------------------------------------------- function f = ObjFunc(k,tspan,y0,yexp) % Ä¿±êº¯Êý [t Xsim] = ode45(@KineticsEqs,tspan,y0,[],k) ; ysim = Xsim(2:end); size(ysim); size(yexp); f=ysim-yexp; %---------------------------------------------------------- function dydt = KineticsEqs(t,y,k) beta(1)=k(1); beta(2)=k(2); tspan=(0:10:390); h=0.068031; p=[3.472000000000000 3.519000000000000 3.548000000000000 3.589000000000000 3.634000000000000 3.676000000000000 3.710000000000000 3.740000000000000 3.765000000000000 3.789000000000000 3.811000000000000 3.832000000000000 3.847000000000000 3.865000000000000 3.885000000000000 3.906000000000000 3.921000000000000 3.938000000000000 3.952000000000000 3.964000000000000 3.977000000000000 3.988000000000000 4.000000000000000 4.010000000000000 4.020000000000000 4.032000000000000 4.039000000000000 4.050000000000000 4.061000000000000 4.069000000000000 4.078000000000000 4.087000000000000 4.095000000000000 4.105000000000000 4.115000000000000 4.122000000000000 4.129000000000000 4.135000000000000 4.142000000000000 4.150000000000000]'; D=p*h; sp=csaps(tspan,D,1); pp=fnder(sp); dD=fnval(pp,tspan); dydt= (83.38-0.0014*exp(1600*(1/277.55-1/298.15))... *interp1(tspan,p,t,'pchip')*10000-1/beta(2)... *interp1(tspan,D,t,'pchip')*4.229*(0.0598... -(y*0.0150*(54.2+17.68)+(0.236204-interp1(tspan,D,t,'pchip'))... *0.0598*4.229)/(45.07-interp1(tspan,D,t,'pchip')*4.229))... *interp1(tspan,dD,t,'pchip')/(-45.07+interp1(tspan,D,t,'pchip')... *4.229)/0.0150-(0.0598-(y*0.0150*(54.2+17.68)+(0.236204-... interp1(tspan,D,t,'pchip'))*0.0598*4.229)/... (45.07-interp1(tspan,D,t,'pchip')*4.229))*... interp1(tspan,dD,t,'pchip')/0.0150/beta(1))/... (1/beta(1)+1/beta(2)-1/beta(2)*interp1(tspan,D,t,'pchip')... *71.88/(-45.07+4.229*interp1(tspan,D,t,'pchip'))); ÒÔÉÏÊÇÇó¶¯Á¦Ñ§²ÎÊýbeta(1)ºÍbeta(2)µÄ´úÂ룬p,D,ºÍdDÊÇËæÊ±¼ä±ä»¯µÄÒÑÖªÁ¿£¬²»ÖªÒÔÉϳÌÐòÔËÐÐʱinterp1(tspan,D,t,'pchip')ÄÜ·ñ¶ÔÓ¦Éϲ»Í¬Ê±¿ÌµÄD¡£·Ç³£Ð»Ð»¡£ |
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