How many mesh cells are necessary in the matrix

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Reference no: EM13858424

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.

Reference no: EM13858424

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