# sandbox/easystab/stab2014/zhao.m

# Contributions of ZHAO Dan

In this contribution page, I have worked on the equations of advection in 1D and 2D.

There are two codes that I have mainly refered to : vibrating_string.m and poisson2D.m.

# Equation advection 1D

My code : advection_1D.m

I do the marching in time of the advection equation f_t+Uf_x=0 with just one boundary condition at the left end (with U possitive)

This is an equation with one time derivative, to solve we need just one boundary condition. I have valide my curve with a theoretical solutionă€‚

# Equation advection 2D

My code: advection_2D.mI do the marching in time of the advection equation f_t+Uf_x+Vf_y=0 in 2D (with U possitive and V=0)

In advection 2D, I have refered to the code poisson2D.m and use its methode to extract the boundary cell locations in order to set the boundary conditions more efficiently.

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