how to remove matrix dimension error ?

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Qudsiya Irum
Qudsiya Irum 2017-7-27
评论： KSSV 2017-7-27
I want solve Non Linear 1-D Heat Equation using Galerkin Finite Element Method. As I entered its ODE to solve by backward euler method, it is showing matrix dimension error. AA and MM are element stiffness and mass matrix of order(2501*2501) double respectively.
MM= spdiags([dx/6*ones(nx+1,1) 2*dx/3*ones(nx+1,1) dx/6*ones(nx+1,1)],[-1 0 1],nx+1,nx+1)
AA = spdiags([-1/dx*ones(nx+1,1) 2/dx*ones(nx+1,1) -1/dx*ones(nx+1,1)],[-1 0 1],nx+1,nx+1);
for mn = 2:1:M
T_solid_new_t(mn+1) = {MM+ k.*AA.*dt + dt*MM.*ht}\(MM.*T_solid(mn)+(dt.*dx.*Hs)+(ht.*Tp_g.*dx.*dt))
end

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