The following topics are going to be discussed in this post:
(a) 2-D viscous, steady Burgers' equation
(a-1) Exact solution
(a-2) Numerical solution (Newton's method) - Dirichlet boundary conditions
(a-3) Numerical solution - Dirichlet+Neumann boundary conditions$ ^{New}$
(b) 2-D Poisson's equation
(c) 2-D Helmholz equation
(d) Lid-driven cavity flow
(d-1) Lid-driven cavity unsteady solution - stream function-vorticity formulation
(d-2) Lid-driven cavity solution - staggered grid
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