create a steady state heat transfer with conduction on the left side of the wall and convection from air at temperature 20 deg c on all the other sides in matlab in matlab

main.m
% Define constants
k = 1; % Thermal conductivity of the wall
h = 5; % Convective heat transfer coefficient
Ta = 20; % Temperature of the air

% Define grid parameters
L = 1; % Length of the wall
nx = 10; % Number of grid points in x-direction
ny = 10; % Number of grid points in y-direction
dx = L/nx; % Grid spacing in x-direction
dy = L/ny; % Grid spacing in y-direction

% Create grid
x = 0:dx:L;
y = 0:dy:L;

% Initialize temperature matrix
T = zeros(nx+1,ny+1);

% Set initial condition
T(:,1) = 100; % Temperature at the left side of the wall

% Set boundary conditions
T(1,:) = T(:,end) = T(end,:) = Ta; % Temperature at the right, top, and bottom sides of the wall

% Solve the heat transfer problem using the finite difference method
for i = 2:nx
    for j = 2:ny
        Tnext(i,j) = T(i,j) + (k/(dx^2))*(T(i-1,j) - 2*T(i,j) + T(i+1,j)) + (k/(dy^2))*(T(i,j-1) - 2*T(i,j) + T(i,j+1)) + (h*dx/(k))*(Ta - T(i,j));
    end
end

% Update the temperature matrix
T = Tnext;

% Plot the temperature distribution
surf(x,y,T')
xlabel('x')
ylabel('y')
zlabel('Temperature')
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