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Referring to a time independent partial differential equation of the form $\nabla^2u=f$

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Solving 2D Poisson equation with mixed boundary conditions in Python

I am trying to numerically solve the Poisson's equation $$ u_{xx} + u_{yy} = - \cos(x) \quad \text{if} - \pi/2 \leq x \leq \pi/2 \quad \text{0 otherwise} $$ The domain is the rectangle with vertices …
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