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Partial Differential Equation:
2u/x2 5(2u/y2) ey(u/ x) cos( x 2y)
is given on the rectangle <0,3>x<-3,3>, on it's boundary u=0.
a) Present a finite difference discretisation on the equidistant square mesh.
b) How many mesh cells (as minimum) are necessary so that the matrix is diagonally dominant,
c) Present the iterative algorithm (Gauss-Seidel) allowing to solve this system.
Given the following block diagram with G(s)=1/(s^2+4s+1), derive the closed-loop transfer function (Y(s))/(R(s)). Calculate the steady-state error due to a unit step input.
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