Apply Exercise 8 to approximately nd the harmonic function

Chapter 8, Problem 9

(choose chapter or problem)

Apply Exercise 8 to approximately nd the harmonic function in the unitsquarewiththeboundaryconditionsux(0, y)=0, ux(1, y)= 1, uy(x,0)=0,uy(x,1)=1.FormulateaGaussSeidelmethodofsolving the difference scheme and compute two iterations with x = y = 1 3. Compare with the exact solution u = 1 2y2 1 2x2. You may use a computer program.

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