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. 2012 Sep 27;7(9):e29324. doi: 10.1371/journal.pone.0029324

Figure 5. Left: Spatial distribution of the partial sum UN of order N = 7 representing the solution of the Dirichlet problem for the Laplace equation for the domain described in Figure 3 and with f(x,y) = x+cos y describing the boundary data.

Figure 5

Center: Angular behaviour of the partial sum UN(1,φ) with expansion order N = 7. Right: Relative boundary error eN for N = 7.