Let's consider a simple example: solving the 1D Poisson's equation using the finite element method. The Poisson's 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. matlab codes for finite element analysis m files hot
∂u/∂t = α∇²u