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Partial Differential Equation:
^{2}u/x^{2} 5(^{2}u/y^{2}) e^{y}(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.
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