Discretize the Poisson equation, PDE BC Au= F(x,y), 0≤x≤1, 0≤y≤1 u(x,0) = 0 = u(x, 1), u(0,y) = 0 = u(1,y) 0≤x≤1 0≤ y ≤1

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Chapter2: Second-order Linear Odes
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3. Discretize the Poisson equation,
PDE
BC
Au= F(x, y), 0≤x≤1, 0≤y≤1
u(x,0) = 0 = u(x, 1),
u(0,y)=0= u(1,y)
0≤x≤1
0≤ y ≤1
Transcribed Image Text:3. Discretize the Poisson equation, PDE BC Au= F(x, y), 0≤x≤1, 0≤y≤1 u(x,0) = 0 = u(x, 1), u(0,y)=0= u(1,y) 0≤x≤1 0≤ y ≤1
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