Suppose I'm getting a set of three solutions from a pde simulation(assume that each solution is a matrix of dimension 100x500). I run this until I get the steady state. Then at the final time where I have the solution, I need to numerically integrate one pde over the space and divide by the length of the domain(simply get the average of the solution). How can I do this with MATLAB?
Dear Chathranee, it depends on the geometrical shape of your domain (I suppose is 2D region). If domain is rectangular, then Matlab (or Mathematica) can numerically solve pde using built-in functions (I use NDSolve of Mathematica) by standard methods like finite-differences or lines. But if the domain has a complex shape, Matlab tool is Comsol (ex PDE Toolbox) which uses Finite Elements Method. Gianluca
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