MATLAB Newsgroup

1st Code:

t = 0:dt:20;

for m=1:numel(t)

if t(m)==0

X(m)=20;

elseif t(m)>0 && t(m)<2

X(m)=20+35*t(m);

elseif t(m)>=2

X(m)=90;

end

end

2nd Code:

T(79)=X;

T(80)=X;

T(81)=X;

T(82)=X;

T(83)=X;

T(84)=X;

T(85)=X;

T(86)=X;

T(87)=X;

T(88)=X;

T(89)=X;

T(90)=X;

T(91)=X;

> Hi everyone, when I run the 1st Code and then type X is gives me 401 values for which X starts at 20 and rises to 90 and then stays at 90 from then on which is exactly what I'm after. When I run the 2nd Code however, instead of giving me for example that T(79) is then equal to X it gives me an error. Can anyone help? I think it's because T may already be a vector and then when I'm telling it T(79) is equal to something it's saying it can't be is that correct? If so is there a way I can get around this because I actually have T values from 1 to 91, 1 to 78 of which are formulas which work fine, but 79 to 91 have to change with time.

>

> 1st Code:

>

> t = 0:dt:20;

> for m=1:numel(t)

> if t(m)==0

> X(m)=20;

> elseif t(m)>0 && t(m)<2

> X(m)=20+35*t(m);

> elseif t(m)>=2

> X(m)=90;

> end

> end

>

> 2nd Code:

>

> T(79)=X;

> T(80)=X;

> T(81)=X;

> T(82)=X;

> T(83)=X;

> T(84)=X;

> T(85)=X;

> T(86)=X;

> T(87)=X;

> T(88)=X;

> T(89)=X;

> T(90)=X;

> T(91)=X;

In the example you gave, the variable dt is not set, which will effect the exact reason for the error. Tell us what dt is, and also copy and paste the output from the matlab command line when you run the code to show the exact error you get.

There is indeed a heap more coding above the cut-outs that I pasted, and a part of it in fact was dt=0.05

I'll post some more to be safe:

k = 230; % Thermal conductivity (W/m^2 degrees celsius)

rho = 2700; % Density of ceramic clay (kg/m^3)

c = 910; % Specific heat coefficient (J/kg degrees celsius)

h = 300; % Convective heat transfer coefficient (W/m^2 degrees celsius)

Tinf = 20; % Temperature on the exposed surface (degrees celsius)

dx = 0.005; % Step size in x-direction (m)

dy = 0.005; % Step size in y-direction (m)

DVcorners = (dx*dy)/4; % Volume of corner nodes

DVedge = (dx*dy)/2; % Volume of edge nodes

DVinternal = (dx*dy); % Volume of internal nodes

Zcorners = (rho*c*DVcorners); % Creating constants to save some repetition

Zedge = (rho*c*DVedge);

Zinternal = (rho*c*DVinternal);

Ax = dy/2; % Area at node

Ay = dx/2;

Ti = 20*ones(1,91)'; % Initial temperature at nodes

T0 = Ti;

dt = 0.05; % Time step (s)

% Creates the boundary condition for the bottom edge (nodes 79-91)

t = 0:dt:20;

for m=1:numel(t)

if t(m)==0

X(m)=20;

elseif t(m)>0 && t(m)<2

X(m)=20+35*t(m);

elseif t(m)>=2

X(m)=90;

end

end

% Calculates the temperature at each node over the specified time

ivals = 0:dt:20;

for i = 1:length(ivals)

T = Ti;

for j=1:numel(t)

T(79)=X(j);

T(80)=X(j);

T(81)=X(j);

T(82)=X(j);

T(83)=X(j);

T(84)=X(j);

T(85)=X(j);

T(86)=X(j);

T(87)=X(j);

T(88)=X(j);

T(89)=X(j);

T(90)=X(j);

T(91)=X(j);

end

Ti = T;

Tfinal(:,1) = T0;

Tfinal(:,i) = Ti;

It goes something like that. Again there is a little more info in my script that I haven't ncluded because I think is not required. When I run it, it runs fine, but it's saying that the values for T(79) all the way to T(91) are simply equal to 90. When really I want them to be a vector 401 time steps long so that for time step 1-401 T(79) will change from 20 to 90 degrees. Does that make sense? If not I'll simply paste my full code because there may be something in there.

Cheers

> Sorry Richard,

>

> There is indeed a heap more coding above the cut-outs that I pasted, and a part of it in fact was dt=0.05

>

> I'll post some more to be safe:

>

> k = 230; % Thermal conductivity (W/m^2 degrees celsius)

> rho = 2700; % Density of ceramic clay (kg/m^3)

> c = 910; % Specific heat coefficient (J/kg degrees celsius)

> h = 300; % Convective heat transfer coefficient (W/m^2 degrees celsius)

> Tinf = 20; % Temperature on the exposed surface (degrees celsius)

> dx = 0.005; % Step size in x-direction (m)

> dy = 0.005; % Step size in y-direction (m)

> DVcorners = (dx*dy)/4; % Volume of corner nodes

> DVedge = (dx*dy)/2; % Volume of edge nodes

> DVinternal = (dx*dy); % Volume of internal nodes

> Zcorners = (rho*c*DVcorners); % Creating constants to save some repetition

> Zedge = (rho*c*DVedge);

> Zinternal = (rho*c*DVinternal);

> Ax = dy/2; % Area at node

> Ay = dx/2;

> Ti = 20*ones(1,91)'; % Initial temperature at nodes

> T0 = Ti;

> dt = 0.05; % Time step (s)

>

> % Creates the boundary condition for the bottom edge (nodes 79-91)

> t = 0:dt:20;

> for m=1:numel(t)

> if t(m)==0

> X(m)=20;

> elseif t(m)>0 && t(m)<2

> X(m)=20+35*t(m);

> elseif t(m)>=2

> X(m)=90;

> end

> end

>

> % Calculates the temperature at each node over the specified time

> ivals = 0:dt:20;

> for i = 1:length(ivals)

> T = Ti;

>

> for j=1:numel(t)

> T(79)=X(j);

> T(80)=X(j);

> T(81)=X(j);

> T(82)=X(j);

> T(83)=X(j);

> T(84)=X(j);

> T(85)=X(j);

> T(86)=X(j);

> T(87)=X(j);

> T(88)=X(j);

> T(89)=X(j);

> T(90)=X(j);

> T(91)=X(j);

> end

> Ti = T;

> Tfinal(:,1) = T0;

> Tfinal(:,i) = Ti;

>

> It goes something like that. Again there is a little more info in my script that I haven't ncluded because I think is not required. When I run it, it runs fine, but it's saying that the values for T(79) all the way to T(91) are simply equal to 90. When really I want them to be a vector 401 time steps long so that for time step 1-401 T(79) will change from 20 to 90 degrees. Does that make sense? If not I'll simply paste my full code because there may be something in there.

>

> Cheers

First of all, I think you are missing an 'end' somewhere in the code posted.

Next, well, I may have misunderstood what you're asking, but T(79) can never be a vector. It is a single value in a vector. T(79, :) could be a row vector, or T(:,79) could be a column vector, but not T(79), this can be only one value. For example

Declare a 3x3 matrix

M = [1 2 3;

4 5 6;

7 8 9]

M =

1 2 3

4 5 6

7 8 9

M(1)

ans =

1

M(1,:)

ans =

1 2 3

M(:,1)

ans =

1

4

7

Declare a column vector similar to yours:

T = [1; 2; 3; 4; 5]

T =

1

2

3

4

5

T(1)

ans =

1

T(4)

ans =

4

In your code you have a loop like this:

for j=1:numel(t)

T(79)=X(j);

T(80)=X(j);

T(81)=X(j);

T(82)=X(j);

T(83)=X(j);

T(84)=X(j);

T(85)=X(j);

T(86)=X(j);

T(87)=X(j);

T(88)=X(j);

T(89)=X(j);

T(90)=X(j);

T(91)=X(j);

end

All this loop does is replace the single value in each of the points T(79), T(80), T(81) etc with another single value, the single value in the location X(j). This can be shown in the following similar example:

t = 1:5;

X = [10, 9, 8, 7, 6];

T = [0, 0];

for j=1:numel(t)

T(2)=X(j)

end

The output is:

T =

0 10

T =

0 9

T =

0 8

T =

0 7

T =

0 6

I'm guessing this is not want you want.

If you wish to solve differential equations numerically in MATLAB, I would suggest using the built-in ode solvers, look up ode45 for instance.

k = 230; % Thermal conductivity (W/m^2 degrees celsius)

rho = 2700; % Density of ceramic clay (kg/m^3)

c = 910; % Specific heat coefficient (J/kg degrees celsius)

h = 300; % Convective heat transfer coefficient (W/m^2 degrees celsius)

Tinf = 20; % Temperature on the exposed surface (degrees celsius)

dx = 0.005; % Step size in x-direction (m)

dy = 0.005; % Step size in y-direction (m)

DVcorners = (dx*dy)/4; % Volume of corner nodes

DVedge = (dx*dy)/2; % Volume of edge nodes

DVinternal = (dx*dy); % Volume of internal nodes

Zcorners = (rho*c*DVcorners); % Creating constants to save some repetition

Zedge = (rho*c*DVedge);

Zinternal = (rho*c*DVinternal);

Ax = dy/2; % Area at node

Ay = dx/2;

Ti = 20*ones(1,91)'; % Initial temperature at nodes

T0 = Ti;

dt = 0.05; % Time step (s)

% Creates the boundary condition for the bottom edge (nodes 79-91)

t = 0:dt:20;

for m=1:numel(t)

if t(m)==0

X(m)=20;

elseif t(m)>0 && t(m)<2

X(m)=20+35*t(m);

elseif t(m)>=2

X(m)=90;

end

end

% Calculates the temperature at each node over the specified time

ivals = 0:dt:20;

for i = 1:length(ivals)

T = Ti;

T(1) = (((k/2)*(Ti(14)-Ti(1)) + (k/2)*(Ti(2)-Ti(1)) + h*Ax*(Tinf-Ti(1)))*(dt/Zcorners)) + Ti(1);

T(2) = (((k/2)*(Ti(1)-Ti(2)) + k*(Ti(15)-Ti(2)) + (k/2)*(Ti(3)-Ti(2)) + h*Ax*(Tinf-Ti(2)))*(dt/Zedge)) + Ti(2);

T(3) = (((k/2)*(Ti(2)-Ti(3)) + k*(Ti(16)-Ti(3)) + (k/2)*(Ti(4)-Ti(3)) + h*Ax*(Tinf-Ti(3)))*(dt/Zedge)) + Ti(3);

T(4) = (((k/2)*(Ti(3)-Ti(4)) + k*(Ti(17)-Ti(4)) + (k/2)*(Ti(5)-Ti(4)) + h*Ax*(Tinf-Ti(4)))*(dt/Zedge)) + Ti(4);

T(5) = (((k/2)*(Ti(4)-Ti(5)) + k*(Ti(18)-Ti(5)) + (k/2)*(Ti(6)-Ti(5)) + h*Ax*(Tinf-Ti(5)))*(dt/Zedge)) + Ti(5);

T(6) = (((k/2)*(Ti(5)-Ti(6)) + k*(Ti(19)-Ti(6)) + (k/2)*(Ti(7)-Ti(6)) + h*Ax*(Tinf-Ti(6)))*(dt/Zedge)) + Ti(6);

T(7) = (((k/2)*(Ti(6)-Ti(7)) + k*(Ti(20)-Ti(7)) + (k/2)*(Ti(8)-Ti(7)) + h*Ax*(Tinf-Ti(7)))*(dt/Zedge)) + Ti(7);

T(8) = (((k/2)*(Ti(7)-Ti(8)) + k*(Ti(21)-Ti(8)) + (k/2)*(Ti(9)-Ti(8)) + h*Ax*(Tinf-Ti(8)))*(dt/Zedge)) + Ti(8);

T(9) = (((k/2)*(Ti(8)-Ti(9)) + k*(Ti(22)-Ti(9)) + (k/2)*(Ti(10)-Ti(9)) + h*Ax*(Tinf-Ti(9)))*(dt/Zedge)) + Ti(9);

T(10) = (((k/2)*(Ti(9)-Ti(10)) + k*(Ti(23)-Ti(10)) + (k/2)*(Ti(11)-Ti(10)) + h*Ax*(Tinf-Ti(10)))*(dt/Zedge)) + Ti(10);

T(11) = (((k/2)*(Ti(10)-Ti(11)) + k*(Ti(24)-Ti(11)) + (k/2)*(Ti(12)-Ti(11)) + h*Ax*(Tinf-Ti(11)))*(dt/Zedge)) + Ti(11);

T(12) = (((k/2)*(Ti(11)-Ti(12)) + k*(Ti(25)-Ti(12)) + (k/2)*(Ti(13)-Ti(12)) + h*Ax*(Tinf-Ti(12)))*(dt/Zedge)) + Ti(12);

T(13) = (((k/2)*(Ti(12)-Ti(13)) + (k/2)*(Ti(26)-Ti(13)) + h*Ay*(Tinf-Ti(13)) + h*Ax*(Tinf-Ti(13)))*(dt/Zcorners)) + Ti(13);

T(14) = (((k/2)*(Ti(27)-Ti(14)) + k*(Ti(15)-Ti(14)) + (k/2)*(Ti(1)-Ti(14)))*(dt/Zedge)) + Ti(14);

T(15) = ((k*(Ti(14)-Ti(15)) + k*(Ti(28)-Ti(15)) + k*(Ti(16)-Ti(15)) + k*(Ti(2)-Ti(15)))*(dt/Zinternal)) + Ti(15);

T(16) = ((k*(Ti(15)-Ti(16)) + k*(Ti(29)-Ti(16)) + k*(Ti(17)-Ti(16)) + k*(Ti(3)-Ti(16)))*(dt/Zinternal)) + Ti(16);

T(17) = ((k*(Ti(16)-Ti(17)) + k*(Ti(30)-Ti(17)) + k*(Ti(18)-Ti(17)) + k*(Ti(4)-Ti(17)))*(dt/Zinternal)) + Ti(17);

T(18) = ((k*(Ti(17)-Ti(18)) + k*(Ti(31)-Ti(18)) + k*(Ti(19)-Ti(18)) + k*(Ti(5)-Ti(18)))*(dt/Zinternal)) + Ti(18);

T(19) = ((k*(Ti(18)-Ti(19)) + k*(Ti(32)-Ti(19)) + k*(Ti(20)-Ti(19)) + k*(Ti(6)-Ti(19)))*(dt/Zinternal)) + Ti(19);

T(20) = ((k*(Ti(19)-Ti(20)) + k*(Ti(33)-Ti(20)) + k*(Ti(21)-Ti(20)) + k*(Ti(7)-Ti(20)))*(dt/Zinternal)) + Ti(20);

T(21) = ((k*(Ti(20)-Ti(21)) + k*(Ti(34)-Ti(21)) + k*(Ti(22)-Ti(21)) + k*(Ti(8)-Ti(21)))*(dt/Zinternal)) + Ti(21);

T(22) = ((k*(Ti(21)-Ti(22)) + k*(Ti(35)-Ti(22)) + k*(Ti(23)-Ti(22)) + k*(Ti(9)-Ti(22)))*(dt/Zinternal)) + Ti(22);

T(23) = ((k*(Ti(22)-Ti(23)) + k*(Ti(36)-Ti(23)) + k*(Ti(24)-Ti(23)) + k*(Ti(10)-Ti(23)))*(dt/Zinternal)) + Ti(23);

T(24) = ((k*(Ti(23)-Ti(24)) + k*(Ti(37)-Ti(24)) + k*(Ti(25)-Ti(24)) + k*(Ti(11)-Ti(24)))*(dt/Zinternal)) + Ti(24);

T(25) = ((k*(Ti(24)-Ti(25)) + k*(Ti(38)-Ti(25)) + k*(Ti(26)-Ti(25)) + k*(Ti(12)-Ti(25)))*(dt/Zinternal)) + Ti(25);

T(26) = ((k*(Ti(25)-Ti(26)) + (k/2)*(Ti(39)-Ti(26)) + h*Ay*(Tinf-Ti(26)) + (k/2)*(Ti(13)-Ti(26)))*(dt/Zedge)) + Ti(26);

T(27) = (((k/2)*(Ti(40)-Ti(27)) + k*(Ti(28)-Ti(27)) + (k/2)*(Ti(14)-Ti(27)))*(dt/Zedge)) + Ti(27);

T(28) = ((k*(Ti(27)-Ti(28)) + k*(Ti(41)-Ti(28)) + k*(Ti(29)-Ti(28)) + k*(Ti(15)-Ti(28)))*(dt/Zinternal)) + Ti(28);

T(29) = ((k*(Ti(28)-Ti(29)) + k*(Ti(42)-Ti(29)) + k*(Ti(30)-Ti(29)) + k*(Ti(16)-Ti(29)))*(dt/Zinternal)) + Ti(29);

T(30) = ((k*(Ti(29)-Ti(30)) + k*(Ti(43)-Ti(30)) + k*(Ti(31)-Ti(30)) + k*(Ti(17)-Ti(30)))*(dt/Zinternal)) + Ti(30);

T(31) = ((k*(Ti(30)-Ti(31)) + k*(Ti(44)-Ti(31)) + k*(Ti(32)-Ti(31)) + k*(Ti(18)-Ti(31)))*(dt/Zinternal)) + Ti(31);

T(32) = ((k*(Ti(31)-Ti(32)) + k*(Ti(45)-Ti(32)) + k*(Ti(33)-Ti(32)) + k*(Ti(19)-Ti(32)))*(dt/Zinternal)) + Ti(32);

T(33) = ((k*(Ti(32)-Ti(33)) + k*(Ti(46)-Ti(33)) + k*(Ti(34)-Ti(33)) + k*(Ti(20)-Ti(33)))*(dt/Zinternal)) + Ti(33);

T(34) = ((k*(Ti(33)-Ti(34)) + k*(Ti(47)-Ti(34)) + k*(Ti(35)-Ti(34)) + k*(Ti(21)-Ti(34)))*(dt/Zinternal)) + Ti(34);

T(35) = ((k*(Ti(34)-Ti(35)) + k*(Ti(48)-Ti(35)) + k*(Ti(36)-Ti(35)) + k*(Ti(22)-Ti(35)))*(dt/Zinternal)) + Ti(35);

T(36) = ((k*(Ti(35)-Ti(36)) + k*(Ti(49)-Ti(36)) + k*(Ti(37)-Ti(36)) + k*(Ti(23)-Ti(36)))*(dt/Zinternal)) + Ti(36);

T(37) = ((k*(Ti(36)-Ti(37)) + k*(Ti(50)-Ti(37)) + k*(Ti(38)-Ti(37)) + k*(Ti(24)-Ti(37)))*(dt/Zinternal)) + Ti(37);

T(38) = ((k*(Ti(37)-Ti(38)) + k*(Ti(51)-Ti(38)) + k*(Ti(39)-Ti(38)) + k*(Ti(25)-Ti(38)))*(dt/Zinternal)) + Ti(38);

T(39) = ((k*(Ti(38)-Ti(39)) + (k/2)*(Ti(52)-Ti(39)) + h*Ay*(Tinf-Ti(39)) + (k/2)*(Ti(26)-Ti(39)))*(dt/Zedge)) + Ti(39);

T(40) = (((k/2)*(Ti(53)-Ti(40)) + k*(Ti(41)-Ti(40)) + (k/2)*(Ti(27)-Ti(40)))*(dt/Zedge)) + Ti(40);

T(41) = ((k*(Ti(40)-Ti(41)) + k*(Ti(54)-Ti(41)) + k*(Ti(42)-Ti(41)) + k*(Ti(28)-Ti(41)))*(dt/Zinternal)) + Ti(41);

T(42) = ((k*(Ti(41)-Ti(42)) + k*(Ti(55)-Ti(42)) + k*(Ti(43)-Ti(42)) + k*(Ti(29)-Ti(42)))*(dt/Zinternal)) + Ti(42);

T(43) = ((k*(Ti(42)-Ti(43)) + k*(Ti(56)-Ti(43)) + k*(Ti(44)-Ti(43)) + k*(Ti(30)-Ti(43)))*(dt/Zinternal)) + Ti(43);

T(44) = ((k*(Ti(43)-Ti(44)) + k*(Ti(57)-Ti(44)) + k*(Ti(45)-Ti(44)) + k*(Ti(31)-Ti(44)))*(dt/Zinternal)) + Ti(44);

T(45) = ((k*(Ti(44)-Ti(45)) + k*(Ti(58)-Ti(45)) + k*(Ti(46)-Ti(45)) + k*(Ti(32)-Ti(45)))*(dt/Zinternal)) + Ti(45);

T(46) = ((k*(Ti(45)-Ti(46)) + k*(Ti(59)-Ti(46)) + k*(Ti(47)-Ti(46)) + k*(Ti(33)-Ti(46)))*(dt/Zinternal)) + Ti(46);

T(47) = ((k*(Ti(46)-Ti(47)) + k*(Ti(60)-Ti(47)) + k*(Ti(48)-Ti(47)) + k*(Ti(34)-Ti(47)))*(dt/Zinternal)) + Ti(47);

T(48) = ((k*(Ti(47)-Ti(48)) + k*(Ti(61)-Ti(48)) + k*(Ti(49)-Ti(48)) + k*(Ti(35)-Ti(48)))*(dt/Zinternal)) + Ti(48);

T(49) = ((k*(Ti(48)-Ti(49)) + k*(Ti(62)-Ti(49)) + k*(Ti(50)-Ti(49)) + k*(Ti(36)-Ti(49)))*(dt/Zinternal)) + Ti(49);

T(50) = ((k*(Ti(49)-Ti(50)) + k*(Ti(63)-Ti(50)) + k*(Ti(51)-Ti(50)) + k*(Ti(37)-Ti(50)))*(dt/Zinternal)) + Ti(50);

T(51) = ((k*(Ti(50)-Ti(51)) + k*(Ti(64)-Ti(51)) + k*(Ti(52)-Ti(51)) + k*(Ti(38)-Ti(51)))*(dt/Zinternal)) + Ti(51);

T(52) = ((k*(Ti(51)-Ti(52)) + (k/2)*(Ti(65)-Ti(52)) + h*Ay*(Tinf-Ti(52)) + (k/2)*(Ti(39)-Ti(52)))*(dt/Zedge)) + Ti(52);

T(53) = (((k/2)*(Ti(66)-Ti(53)) + k*(Ti(54)-Ti(53)) + (k/2)*(Ti(40)-Ti(53)))*(dt/Zedge)) + Ti(53);

T(54) = ((k*(Ti(53)-Ti(54)) + k*(Ti(67)-Ti(54)) + k*(Ti(55)-Ti(54)) + k*(Ti(41)-Ti(54)))*(dt/Zinternal)) + Ti(54);

T(55) = ((k*(Ti(54)-Ti(55)) + k*(Ti(68)-Ti(55)) + k*(Ti(56)-Ti(55)) + k*(Ti(42)-Ti(55)))*(dt/Zinternal)) + Ti(55);

T(56) = ((k*(Ti(55)-Ti(56)) + k*(Ti(69)-Ti(56)) + k*(Ti(57)-Ti(56)) + k*(Ti(43)-Ti(56)))*(dt/Zinternal)) + Ti(56);

T(57) = ((k*(Ti(56)-Ti(57)) + k*(Ti(70)-Ti(57)) + k*(Ti(58)-Ti(57)) + k*(Ti(44)-Ti(57)))*(dt/Zinternal)) + Ti(57);

T(58) = ((k*(Ti(57)-Ti(58)) + k*(Ti(71)-Ti(58)) + k*(Ti(59)-Ti(58)) + k*(Ti(45)-Ti(58)))*(dt/Zinternal)) + Ti(58);

T(59) = ((k*(Ti(58)-Ti(59)) + k*(Ti(72)-Ti(59)) + k*(Ti(60)-Ti(59)) + k*(Ti(46)-Ti(59)))*(dt/Zinternal)) + Ti(59);

T(60) = ((k*(Ti(59)-Ti(60)) + k*(Ti(73)-Ti(60)) + k*(Ti(61)-Ti(60)) + k*(Ti(47)-Ti(60)))*(dt/Zinternal)) + Ti(60);

T(61) = ((k*(Ti(60)-Ti(61)) + k*(Ti(74)-Ti(61)) + k*(Ti(62)-Ti(61)) + k*(Ti(48)-Ti(61)))*(dt/Zinternal)) + Ti(61);

T(62) = ((k*(Ti(61)-Ti(62)) + k*(Ti(75)-Ti(62)) + k*(Ti(63)-Ti(62)) + k*(Ti(49)-Ti(62)))*(dt/Zinternal)) + Ti(62);

T(63) = ((k*(Ti(62)-Ti(63)) + k*(Ti(76)-Ti(63)) + k*(Ti(64)-Ti(63)) + k*(Ti(50)-Ti(63)))*(dt/Zinternal)) + Ti(63);

T(64) = ((k*(Ti(63)-Ti(64)) + k*(Ti(77)-Ti(64)) + k*(Ti(65)-Ti(64)) + k*(Ti(51)-Ti(64)))*(dt/Zinternal)) + Ti(64);

T(65) = ((k*(Ti(64)-Ti(65)) + (k/2)*(Ti(78)-Ti(65)) + h*Ay*(Tinf-Ti(65)) + (k/2)*(Ti(52)-Ti(65)))*(dt/Zedge)) + Ti(65);

T(66) = (((k/2)*(Ti(79)-Ti(66)) + k*(Ti(67)-Ti(66)) + (k/2)*(Ti(53)-Ti(66)))*(dt/Zedge)) + Ti(66);

T(67) = ((k*(Ti(66)-Ti(67)) + k*(Ti(80)-Ti(67)) + k*(Ti(68)-Ti(67)) + k*(Ti(54)-Ti(67)))*(dt/Zinternal)) + Ti(67);

T(68) = ((k*(Ti(67)-Ti(68)) + k*(Ti(81)-Ti(68)) + k*(Ti(69)-Ti(68)) + k*(Ti(55)-Ti(68)))*(dt/Zinternal)) + Ti(68);

T(69) = ((k*(Ti(68)-Ti(69)) + k*(Ti(82)-Ti(69)) + k*(Ti(70)-Ti(69)) + k*(Ti(56)-Ti(69)))*(dt/Zinternal)) + Ti(69);

T(70) = ((k*(Ti(69)-Ti(70)) + k*(Ti(83)-Ti(70)) + k*(Ti(71)-Ti(70)) + k*(Ti(57)-Ti(70)))*(dt/Zinternal)) + Ti(70);

T(71) = ((k*(Ti(70)-Ti(71)) + k*(Ti(84)-Ti(71)) + k*(Ti(72)-Ti(71)) + k*(Ti(58)-Ti(71)))*(dt/Zinternal)) + Ti(71);

T(72) = ((k*(Ti(71)-Ti(72)) + k*(Ti(85)-Ti(72)) + k*(Ti(73)-Ti(72)) + k*(Ti(59)-Ti(72)))*(dt/Zinternal)) + Ti(72);

T(73) = ((k*(Ti(72)-Ti(73)) + k*(Ti(86)-Ti(73)) + k*(Ti(74)-Ti(73)) + k*(Ti(60)-Ti(73)))*(dt/Zinternal)) + Ti(73);

T(74) = ((k*(Ti(73)-Ti(74)) + k*(Ti(87)-Ti(74)) + k*(Ti(75)-Ti(74)) + k*(Ti(61)-Ti(74)))*(dt/Zinternal)) + Ti(74);

T(75) = ((k*(Ti(74)-Ti(75)) + k*(Ti(88)-Ti(75)) + k*(Ti(76)-Ti(75)) + k*(Ti(62)-Ti(75)))*(dt/Zinternal)) + Ti(75);

T(76) = ((k*(Ti(75)-Ti(76)) + k*(Ti(89)-Ti(76)) + k*(Ti(77)-Ti(76)) + k*(Ti(63)-Ti(76)))*(dt/Zinternal)) + Ti(76);

T(77) = ((k*(Ti(76)-Ti(77)) + k*(Ti(90)-Ti(77)) + k*(Ti(78)-Ti(77)) + k*(Ti(64)-Ti(77)))*(dt/Zinternal)) + Ti(77);

T(78) = ((k*(Ti(77)-Ti(78)) + (k/2)*(Ti(91)-Ti(78)) + h*Ay*(Tinf-Ti(78)) + (k/2)*(Ti(65)-Ti(78)))*(dt/Zedge)) + Ti(78);

for j=1:numel(t)

T(79)=X(j);

T(80)=X(j);

T(81)=X(j);

T(82)=X(j);

T(83)=X(j);

T(84)=X(j);

T(85)=X(j);

T(86)=X(j);

T(87)=X(j);

T(88)=X(j);

T(89)=X(j);

T(90)=X(j);

T(91)=X(j);

end

Ti = T;

Tfinal(:,1) = T0;

Tfinal(:,i) = Ti;

end

> ivals = 0:dt:20;

> for i = 1:length(ivals)

> T = Ti;

> T(1) = (((k/2)*(Ti(14)-Ti(1)) + (k/2)*(Ti(2)-Ti(1)) + h*Ax*(Tinf-Ti(1)))*(dt/Zcorners)) + Ti(1);

> T(2) = (((k/2)*(Ti(1)-Ti(2)) + k*(Ti(15)-Ti(2)) + (k/2)*(Ti(3)-Ti(2)) + h*Ax*(Tinf-Ti(2)))*(dt/Zedge)) + Ti(2);

...<snip>...

> T(78) = ((k*(Ti(77)-Ti(78)) + (k/2)*(Ti(91)-Ti(78)) + h*Ay*(Tinf-Ti(78)) + (k/2)*(Ti(65)-Ti(78)))*(dt/Zedge)) + Ti(78);

> for j=1:numel(t)

> T(79)=X(j);

> T(91)=X(j);

> end

> Ti = T;

> Tfinal(:,1) = T0;

> Tfinal(:,i) = Ti;

> end

Your code is not making any use of Matlab's true capabilities, and as such it will be very difficult to track down errors. Consider this example

for j=1:numel(t)

T(79)=X(j);

T(80)=X(j);

...

T(91)=X(j);

end

This can be condensed to

for j = 1:numel(t)

T(79:91) = X(j);

end

But it is clear that T is being overwritten each cycle through the loop so the only value of j which matters here is the last one, therefore this is equivalent to

T(79:91) = X(numel(t));

This is undoubtedly NOT what you want.

With proper use of indexing you could reduce most of your script to just a few lines, then you will probably catch the errors.

Hth,

Darren

> It still says they're simply 90 degrees for the duration, but I want them to start at 20 and graduate to 90. Any suggestions?

Try replacing

for j=1:numel(t)

T(79)=X(j);

T(80)=X(j);

T(81)=X(j);

T(82)=X(j);

T(83)=X(j);

T(84)=X(j);

T(85)=X(j);

T(86)=X(j);

T(87)=X(j);

T(88)=X(j);

T(89)=X(j);

T(90)=X(j);

T(91)=X(j);

end

with

T(79:91) = X(i);

Hth,

Darren

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