Create a 1D row vector (5,1) with middle elements = T.
1 次查看(过去 30 天)
显示 更早的评论

This is my code: I have problems with assigning the variable T to the 1D row vector.
N = 3;
a1=-2;
a2 = 1;
a3 = 1;
A = diag(a1*ones(1,N)) + diag(a2*ones(1,N-1),1) + diag(a3*ones(1,N-1),-1);
b = zeros(3,1); b(1,1) = -40; b(3,1) = -20;
T=A\b;
x=linspace(0,0.8,5);
Temperature= ones(5,1); Temperature(1,1)=40; Temperature (5,1)=20;
Temperature(2:n-1)=T;
plot(x,Temperature)
title('Temperature distribution between x=0 and x=0.8 ')
xlabel('x')
ylabel('Temperature')
回答(1 个)
Karim
2022-6-28
编辑:Karim
2022-6-28
I guess this was only a typographical error, where you inserted the variable 'T' into 'temperature', see below for the adjusted code:
n = 100; % gridpoints
T1 = 100; % temp T1
T2 = 0; % temp T2
%construct a tridiagonal matrix
A=2*eye(n);
A=A-diag(ones(n-1,1),1);
A=A-diag(ones(n-1,1),-1);
A(1,:)=0;
A(1,1)=1; %Since the temperature at node 1 is known
A(n,:)=0;
A(n,n)=1; %Since the temperature at node n is known
% Construct a vector b with known temperatures
b=zeros(n,1);
b(1)=T1;
b(end)=T2;
x = linspace(0,0.8,n);
Temperature = A\b;
T = Temperature(2:end-1); % extract the middle temperatues for the ex
figure
plot(x,Temperature)
title('Temperature distribution between x=0 and x=0.8 ')
xlabel('x')
ylabel('Temperature')
16 个评论
Ellie Matlab
2022-6-28
If i want to change the gridpoints to 100 instead. When i modify the codes like this there is an error..
N = 3;
a1 =-2;
a2 = 1;
a3 = 1;
A = diag(a1*ones(1,N)) + diag(a2*ones(1,N-1),1) + diag(a3*ones(1,N-1),-1);
b = zeros(3,1); b(1,1) = -40; b(3,1) = -20;
T=A\b;
x=linspace(0,0.8,100);
Temperature = ones(1,101);
Temperature(1,1)=100;
Temperature(1,100)=0;
Temperature(2:end-2)=T;
plot(x,Temperature)
title('Temperature distribution between x=0 and x=0.8 ')
xlabel('x')
ylabel('Temperature')
Ellie Matlab
2022-6-28
编辑:Ellie Matlab
2022-6-28
I dont understand on changing the N to the number of gridpoints. I need N to be constant =3. but my linspace have to be exact (0,0.8,100).
Karim
2022-6-28
so you want to interpolate in the results?
in that case you can do somethinge like:
N = 3;
a1 =-2;
a2 = 1;
a3 = 1;
A = diag(a1*ones(1,N)) + diag(a2*ones(1,N-1),1) + diag(a3*ones(1,N-1),-1);
b = zeros(N,1); b(1,1) = -40; b(3,1) = -20;
T=A\b;
x_sol = linspace(0,0.8,5);
Temperature = ones(5,1);
Temperature(1,1)=40;
Temperature(2:end-1)=T; % <-- here you had a typo, you used 'n' instead of 'end'
Temperature(end,1)=20;
% interpolate for more points
x_fine = linspace(0,0.8,100);
temp_fine = interp1(x_sol,Temperature,x_fine);
figure
plot(x_fine,temp_fine)
title('Temperature distribution between x=0 and x=0.8 ')
xlabel('x')
ylabel('Temperature')

Ellie Matlab
2022-6-28
not really interpoling, but more of altering the previous codes of 4 gridpoints to 100 gridpoints instead. I tried 3 different sets of codes with one provide from you, but the results is still incorrect. 

Ellie Matlab
2022-6-28
编辑:Ellie Matlab
2022-6-28
This is the current code that i have that fulfils most of the requirements. But there is still error on the variable T.

n=100;
%construct a tridiagonal matrix
A=2*eye(n);
A=A-diag(ones(n-1,1),1);
A=A-diag(ones(n-1,1),-1);
A(1,:)=0;
A(1,1)=1; %Since the temperature at node 1 is known
A(n,:)=0;
A(n,n)=1; %Since the temperature at node n is known
% Construct a vector b with known temperatures
b=zeros(n,1);
b(1)=100; b(n-2)=0;
T=zeros(n,1); % Pre-defining the temperature vector
T=A\b; % Use backslash operator
x=linspace(0,0.8,100); % Domain vector x
plot(x,T)
title('Temperature distribution between x=0 and x=0.8 ')
xlabel('x')
ylabel('Temperature')
Altering the previous code you provided,
N = 3;
a1 =-2;
a2 = 1;
a3 = 1;
A = diag(a1*ones(1,N)) + diag(a2*ones(1,N-1),1) + diag(a3*ones(1,N-1),-1);
b = zeros(3,1); b(1,1) = -40; b(3,1) = -20;
T=A\b;
x=linspace(0,0.8,100);
Temperature = ones(1,100);
Temperature(1,1)=100;
Temperature(1,100)=0;
Temperature(2:end-1)=T; %%Unable to perform assignment because the left and right sides have a different number of elements.
plot(x,Temperature)
title('Temperature distribution between x=0 and x=0.8 ')
xlabel('x')
ylabel('Temperature')
Karim
2022-6-28
Try not to change your question so many times, it is very time demanding to answer the same thing many times over with a small varient in the question. Add all information up front and do not add it later assuming that everyone knows what you want to acchieve.
Anyhow, i updated the answer to match the changes.
Ellie Matlab
2022-6-28
how do i change the variable Temperaure to size [1 100] instead of the current [100 1]?
Karim
2022-6-28
by transposing the data:
A = rand(100,1)
A = 100×1
0.6662
0.2808
0.9608
0.3905
0.3165
0.4323
0.5959
0.3109
0.4829
0.2172
A = transpose(A)
A = 1×100
0.6662 0.2808 0.9608 0.3905 0.3165 0.4323 0.5959 0.3109 0.4829 0.2172 0.8374 0.3507 0.0973 0.5586 0.7019 0.5457 0.2889 0.8119 0.2632 0.9979 0.1576 0.2243 0.4143 0.7989 0.7886 0.2565 0.3138 0.1508 0.3934 0.2843
Ellie Matlab
2022-6-28
编辑:Ellie Matlab
2022-6-28
This is after i transpose, but the size is still wrong and if i put it anywhere above the A\b, there will be an error.
n = 100; % gridpoints
T1 = 100; % temp T1
T2 = 0; % temp T2
%construct a tridiagonal matrix
A=2*eye(n);
A=A-diag(ones(n-1,1),1);
A=A-diag(ones(n-1,1),-1);
A(1,:)=0;
A(1,1)=1; %Since the temperature at node 1 is known
A(n,:)=0;
A(n,n)=1; %Since the temperature at node n is known
% Construct a vector b with known temperatures
b=zeros(n,1);
b(1)=T1;
b(end)=T2;
x = linspace(0,0.8,n);
Temperature = A\b;
A = rand(100,1);
A = transpose(A);
T = Temperature(2:end-1); % extract the middle temperatues for the ex
figure
plot(x,Temperature)
title('Temperature distribution between x=0 and x=0.8 ')
xlabel('x')
ylabel('Temperature')
Karim
2022-6-28
you have to transpose the variable "Temperature" not "A"...
Try to think on what you want to achieve... if "Temperature" is the wrong size then why would you transpose "A"?
Ellie Matlab
2022-6-28
if i change to the below codes, its still wrong. i tried changing to (1,100) but to no avail.
A = rand(100,1);
A = transpose(Temperature);
Karim
2022-6-28
to be honest at this point i do not know if you are serious...
now you have overwritten "A" as the transpose of "Temperature"... why would you do this?
if your goal is to change the size of "Temperature" why to you write it to the variable "A"? Do you know the meaning/understand the = symbol?
offcourse it should be
Temperature = transpose(Temperature);
otherwise you haven't done anything... please try to think a bit.
Ellie Matlab
2022-6-28
are you able to help me with adding an extra term to the vector b? This is my codes. But i failed the requirements, to my understanding as long i declare a varibale i sould be able to use it. 

N = 3;
a1 =-2;
a2 = 1;
a3 = 1;
w=200000;
k=80.2;
deltax= 0.8/5-1;
A = diag(a1*ones(1,N)) + diag(a2*ones(1,N-1),1) + diag(a3*ones(1,N-1),-1);
b = zeros(3,1); b(1,1) = -40-(w/k)*deltax^2; b(3,1) = -20-(w/k)*deltax^2; b(2,1)=-(w/k)*deltax^2;
T=A\b;
x=linspace(0,0.8,5);
Temperature = ones(1,5);
Temperature(1,1)=40;
Temperature(1,5)=20;
Temperature(2:end-1)=T;
Temperature = transpose(Temperature);
plot(x,Temperature)
title('Temperature distribution between x=0 and x=0.8 ')
xlabel('x')
ylabel('Temperature')
另请参阅
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!发生错误
由于页面发生更改,无法完成操作。请重新加载页面以查看其更新后的状态。
您也可以从以下列表中选择网站:
如何获得最佳网站性能
选择中国网站(中文或英文)以获得最佳网站性能。其他 MathWorks 国家/地区网站并未针对您所在位置的访问进行优化。
美洲
- América Latina (Español)
- Canada (English)
- United States (English)
欧洲
- Belgium (English)
- Denmark (English)
- Deutschland (Deutsch)
- España (Español)
- Finland (English)
- France (Français)
- Ireland (English)
- Italia (Italiano)
- Luxembourg (English)
- Netherlands (English)
- Norway (English)
- Österreich (Deutsch)
- Portugal (English)
- Sweden (English)
- Switzerland
- United Kingdom(English)
亚太
- Australia (English)
- India (English)
- New Zealand (English)
- 中国
- 日本Japanese (日本語)
- 한국Korean (한국어)