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MatlabС°×£¬¼±Ðè¼ÆËãÒ»¸öÄ£ÐÍ£¬Ç󶮵ĴóÉñ¿´¿´ÔõôÐ޸ġ£Íò·Ö¸Ðл ÒÑÓÐ2È˲ÎÓë
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MatlabС°×£¬¼±Ðè¼ÆËãÒ»¸öÄ£ÐÍ£¬½â΢·Ö·½³Ì×飬Ç󶮵ĴóÉñ¿´¿´ÔõôÐ޸ġ£Íò·Ö¸Ðл function dy = funct(t,y) I = 50 % mA F = 96487 % C/mol c0 = 10 % mM Vol = 3.344 % ml Q = 6.5 % ml/min A = 33.75 % cm2 syms x eqn = 0.86*x+0.4*(x*exp(-asinh(theta/(-2*x)))+x*exp(asinh(theta/(-2*x))))==y(3) cma = double(solve(eqn,x)) cmion = (y(3)-0.86*cma)/0.4 phi_sp = asinh(-3/y(2)) phi_ele = asinh(-3/cma) phi_mem = (I*170)/(-1.12*F*(cma.*cosh(phi_ele)+y(2).*cosh(phi_sp))) J = -(1.12*1e-3/170)*(2*cma.*cosh(phi_ele)-2*y(2).*cosh(phi_sp))+3*phi_mem dy=zeros(3,1); dy(1) = (1e4*I/A)/(116*F) dy(2) = -J/(250e-6*0.5)+(c0-y(2))/(0.5*(Vol/Q)*60) dy(3) = J/(290*1e-6) end clear all; c0=10 tspan=[0 600] [t,y] = ode45(@funct,tspan,[0 c0 1.66*c0]) plot(t, y(:,2)) xlabel('t'),ylabel('c') ´íÎóʹÓà odearguments (line 92) FUNCT ·µ»ØµÄʸÁ¿µÄ³¤¶ÈΪ 2£¬µ«³õʼÌõ¼þʸÁ¿µÄ³¤¶ÈΪ 3¡£FUNCT ·µ»ØµÄʸÁ¿ºÍ³õʼÌõ¼þʸÁ¿µÄÔªËØÊýÄ¿±ØÐëÏàͬ¡£ ³ö´í ode45 (line 113) [neq, tspan, ntspan, next, t0, tfinal, tdir, y0, f0, odeArgs, odeFcn, ... |
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chendequan
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2Â¥2019-06-23 10:06:51
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- Ó¦Öú: 0 (Ó×¶ùÔ°)
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- É¢½ð: 33
- ºì»¨: 1
- Ìû×Ó: 145
- ÔÚÏß: 60Сʱ
- ³æºÅ: 2029058
- ×¢²á: 2012-09-25
- ÐÔ±ð: GG
- רҵ: ÐźÅÀíÂÛÓëÐźŴ¦Àí
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function dydt = funct(t,x, y) I = 50; % mA F = 96487; % C/mol c0 = 10; % mM Vol = 3.344; % ml Q = 6.5; % ml/min A = 33.75; % cm2 y1=y(1); y2=y(2); y3=y(3); y3 = 0.86*x+0.4*(x*exp(-asinh(y1/(-2*x)))+x*exp(asinh(y1/(-2*x)))) phi_sp = asinh(-3/y2) phi_ele = asinh(-3/x) phi_mem=(I*170)/(-1.12*F*(x*cosh(phi_ele)+y2*cosh(phi_sp))) J =-(1.12*1e-3/170)*(2*x*cosh(phi_ele)-2*y2*cosh(phi_sp))+3*phi_mem dy1dt = (1e4*I/A)/(116*F) dy2dt = -J/(250e-6*0.5)+(c0-y2)/(0.5*(Vol/Q)*60) dy3dt = J/(290*1e-6) end clear all; I = 50; % mA F = 96487; % C/mol c0 = 10; % mM Vol = 3.344; % ml Q = 6.5; % ml/min A = 33.75; % cm2 tspan=[0 600] x0=c0 [t,x,y] = ode45(@funct,tspan, c0, [0 c0 1.66*c0]) plot(t, theta) xlabel('t'),ylabel('c') ³ö´í ode45 (line 113) [neq, tspan, ntspan, next, t0, tfinal, tdir, y0, f0, odeArgs, odeFcn, ... ¸ÄÁ˳ÌÐò£¬ÏÖÔÚ´íÎó±ä³ÉÕâÑù¡£¹«Ê½¾ÍÊÇÏë½âÒ»¸öÈý¸öδ֪ÊýµÄ΢·Ö·½³Ì×飬µ«ÊÇÀïÃæÓÐδ֪Êý |

3Â¥2019-06-23 20:57:24
½ò½ò°®Ë¯¾õ
½ð³æ (СÓÐÃûÆø)
- Ó¦Öú: 0 (Ó×¶ùÔ°)
- ½ð±Ò: 1100.8
- É¢½ð: 33
- ºì»¨: 1
- Ìû×Ó: 145
- ÔÚÏß: 60Сʱ
- ³æºÅ: 2029058
- ×¢²á: 2012-09-25
- ÐÔ±ð: GG
- רҵ: ÐźÅÀíÂÛÓëÐźŴ¦Àí
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function dydt = funct(t,x, y) I = 50; % mA F = 96487; % C/mol c0 = 10; % mM Vol = 3.344; % ml Q = 6.5; % ml/min A = 33.75; % cm2 y1=y(1); y2=y(2); y3=y(3); y3 = 0.86*x+0.4*(x*exp(-asinh(y1/(-2*x)))+x*exp(asinh(y1/(-2*x)))) phi_sp = asinh(-3/y2) phi_ele = asinh(-3/x) phi_mem=(I*170)/(-1.12*F*(x*cosh(phi_ele)+y2*cosh(phi_sp))) J =-(1.12*1e-3/170)*(2*x*cosh(phi_ele)-2*y2*cosh(phi_sp))+3*phi_mem dy1dt = (1e4*I/A)/(116*F) dy2dt = -J/(250e-6*0.5)+(c0-y2)/(0.5*(Vol/Q)*60) dy3dt = J/(290*1e-6) end clear all; I = 50; % mA F = 96487; % C/mol c0 = 10; % mM Vol = 3.344; % ml Q = 6.5; % ml/min A = 33.75; % cm2 tspan=[0 600] x0=c0 [t,x,y] = ode45(@funct,tspan, c0, [0 c0 1.66*c0]) plot(t, theta) xlabel('t'),ylabel('c') ³ö´í ode45 (line 113) [neq, tspan, ntspan, next, t0, tfinal, tdir, y0, f0, odeArgs, odeFcn, ... ¸ÄÁ˳ÌÐò£¬ÏÖÔÚ´íÎó±ä³ÉÕâÑù¡£¹«Ê½¾ÍÊÇÏë½âÒ»¸öÈý¸öδ֪ÊýµÄ΢·Ö·½³Ì×飬µ«ÊÇÀïÃæÓÐδ֪Êý |

4Â¥2019-06-23 20:57:30
½ò½ò°®Ë¯¾õ
½ð³æ (СÓÐÃûÆø)
- Ó¦Öú: 0 (Ó×¶ùÔ°)
- ½ð±Ò: 1100.8
- É¢½ð: 33
- ºì»¨: 1
- Ìû×Ó: 145
- ÔÚÏß: 60Сʱ
- ³æºÅ: 2029058
- ×¢²á: 2012-09-25
- ÐÔ±ð: GG
- רҵ: ÐźÅÀíÂÛÓëÐźŴ¦Àí

5Â¥2019-06-23 20:58:43
hzlhm
ÖÁ×ðľ³æ (ÖøÃûдÊÖ)
- Ó¦Öú: 387 (˶ʿ)
- ½ð±Ò: 17812
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- ³æºÅ: 1517335
- ×¢²á: 2011-11-30
- ÐÔ±ð: GG
- רҵ: ³£Î¢·Ö·½³ÌÓ붯Á¦ÏµÍ³

6Â¥2019-06-24 13:02:19
hzlhm
ÖÁ×ðľ³æ (ÖøÃûдÊÖ)
- Ó¦Öú: 387 (˶ʿ)
- ½ð±Ò: 17812
- ºì»¨: 53
- Ìû×Ó: 2879
- ÔÚÏß: 606.3Сʱ
- ³æºÅ: 1517335
- ×¢²á: 2011-11-30
- ÐÔ±ð: GG
- רҵ: ³£Î¢·Ö·½³ÌÓ붯Á¦ÏµÍ³
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7Â¥2019-06-24 13:20:05
chendequan
Ìú³æ (СÓÐÃûÆø)
- Ó¦Öú: 152 (¸ßÖÐÉú)
- ½ð±Ò: 918.6
- ºì»¨: 17
- Ìû×Ó: 262
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- ³æºÅ: 994474
- ×¢²á: 2010-04-11
- רҵ: ½á¹¹¹¤³Ì
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8Â¥2019-06-24 15:28:52
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½ð³æ (СÓÐÃûÆø)
- Ó¦Öú: 0 (Ó×¶ùÔ°)
- ½ð±Ò: 1100.8
- É¢½ð: 33
- ºì»¨: 1
- Ìû×Ó: 145
- ÔÚÏß: 60Сʱ
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- ×¢²á: 2012-09-25
- ÐÔ±ð: GG
- רҵ: ÐźÅÀíÂÛÓëÐźŴ¦Àí
|
dy(1)=a*y(1)+b*y(2); y(2)=c*y(1)+d*y(3); dy(3)=-e*y(2)*(y(3)-t)/y(1); function daedi a=-0.2; b=0.5; c=0.1; d=-1; e=0.3; y0=[0.8;0.5;0.1]; %³õÖµ£¬y0(2)=0.5ÊDz²âÖµ options=optimset('display','off'); y0(2)=fsolve(@(y2)y2-(c*y0(1)+d*y0(3)),y0(2),options); %Çó³öÏàÈݵijõÖµy0(2) % Çó½â΢·Ö·½³Ì [t,y]=ode45(@(t,y)myodefun(t,y,a,b,c,d,e),[0,20],y0); figure('numbertitle','off','name','DAE Çó½âʾÀý ·½·¨1.2') plot(t,y) legend('y1(t)','y2(t)','y3(t)') function dy=myodefun(t,y,a,b,c,d,e) dy=zeros(3,1); % dy(2)=0ºÜÖØÒª£¬·ñÔò·´Çó³öy(2)ºó»á±»»ý·Ö % ÏÈÇó½â´úÊý·½³Ì£¬Ë³ÐòºÜÖØÒª cons=@(y2)y2-(c*y(1)+d*y(3)); % Òþʽ´úÊýÔ¼Êø options=optimset('display','off'); % ¹Ø±ÕÌáʾ y(2)=fsolve(cons,y(2),options); %ÓÃÉϴεÄy(2)×÷Ϊ²Â²âÖµ dy(1)=a*y(1)+b*y(2); dy(3)=-e*y(2)*(y(3)-t)/y(1); ÏÖÔÚͨ¹ýÕâ¸öÀý×ÓÒѾ¿ÉÒÔÔËÐУ¬ÏëÎÊÄúÔõô¼ÌÐø±àдÕâ¸öÀý×ÓÖÐy(2)ËætµÄ¶¯Ì¬±ä»¯ÄØ ¸Ðл¸Ðл |

9Â¥2019-06-28 04:59:55
½ò½ò°®Ë¯¾õ
½ð³æ (СÓÐÃûÆø)
- Ó¦Öú: 0 (Ó×¶ùÔ°)
- ½ð±Ò: 1100.8
- É¢½ð: 33
- ºì»¨: 1
- Ìû×Ó: 145
- ÔÚÏß: 60Сʱ
- ³æºÅ: 2029058
- ×¢²á: 2012-09-25
- ÐÔ±ð: GG
- רҵ: ÐźÅÀíÂÛÓëÐźŴ¦Àí
|
dy(1)=a*y(1)+b*y(2); y(2)=c*y(1)+d*y(3); dy(3)=-e*y(2)*(y(3)-t)/y(1); function daedi a=-0.2; b=0.5; c=0.1; d=-1; e=0.3; y0=[0.8;0.5;0.1]; %³õÖµ£¬y0(2)=0.5ÊDz²âÖµ options=optimset('display','off'); y0(2)=fsolve(@(y2)y2-(c*y0(1)+d*y0(3)),y0(2),options); %Çó³öÏàÈݵijõÖµy0(2) % Çó½â΢·Ö·½³Ì [t,y]=ode45(@(t,y)myodefun(t,y,a,b,c,d,e),[0,20],y0); figure('numbertitle','off','name','DAE Çó½âʾÀý ·½·¨1.2') plot(t,y) legend('y1(t)','y2(t)','y3(t)') function dy=myodefun(t,y,a,b,c,d,e) dy=zeros(3,1); % dy(2)=0ºÜÖØÒª£¬·ñÔò·´Çó³öy(2)ºó»á±»»ý·Ö % ÏÈÇó½â´úÊý·½³Ì£¬Ë³ÐòºÜÖØÒª cons=@(y2)y2-(c*y(1)+d*y(3)); % Òþʽ´úÊýÔ¼Êø options=optimset('display','off'); % ¹Ø±ÕÌáʾ y(2)=fsolve(cons,y(2),options); %ÓÃÉϴεÄy(2)×÷Ϊ²Â²âÖµ dy(1)=a*y(1)+b*y(2); dy(3)=-e*y(2)*(y(3)-t)/y(1); ÏÖÔÚͨ¹ýÕâ¸öÀý×ÓÒѾ¿ÉÒÔÔËÐУ¬ÏëÎÊÄúÔõô¼ÌÐø±àдÕâ¸öÀý×ÓÖÐy(2)ËætµÄ¶¯Ì¬±ä»¯ÄØ ¸Ðл¸Ðл |

10Â¥2019-06-28 05:02:15














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