where u is the temperature, α is the thermal diffusivity, and ∇² is the Laplacian operator.
% Define the problem parameters L = 1; % length of the domain N = 10; % number of elements f = @(x) sin(pi*x); % source term matlab codes for finite element analysis m files hot
% Solve the system u = K\F;
Here's another example: solving the 2D heat equation using the finite element method. where u is the temperature, α is the
The heat equation is:
% Plot the solution plot(x, u); xlabel('x'); ylabel('u(x)'); This M-file solves the 1D Poisson's equation using the finite element method with a simple mesh and boundary conditions. where u is the temperature
Here's an example M-file: