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Theory and Modern Applications

Table 2 Solutions on the line \(y=0\) of Problem 2

From: A fourth-order accurate difference Dirichlet problem for the approximate solution of Laplace’s equation with integral boundary condition

h = 1/16

h = 1/32

h = 1/64

h = 1/128

−2.69158E−006

−2.68953E−006

−2.68153E−006

−2.64961E−006

−5.51443E−006

−5.51067E−006

−5.49500E−006

−5.43245E−006

−8.61713E−006

−8.61191E−006

−8.58921E−006

−8.49847E−006

−1.21399E−005

−1.21335E−005

−1.21047E−005

−1.19893E−005

−1.61725E−005

−1.61651E−005

−1.61313E−005

−1.59957E−005

−2.07100E−005

−2.07019E−005

−2.06644E−005

−2.05138E−005

−2.56153E−005

−2.56069E−005

−2.55671E−005

−2.54074E−005

−3.05943E−005

−3.05858E−005

−3.05454E−005

−3.03827E−005

−3.51857E−005

−3.51775E−005

−3.51378E−005

−3.49784E−005

−3.87703E−005

−3.87626E−005

−3.87253E−005

−3.85752E−005

−4.06024E−005

−4.05955E−005

−4.05620E−005

−4.04271E−005

−3.98689E−005

−3.98629E−005

−3.98345E−005

−3.97198E−005

−3.57837E−005

−3.57787E−005

−3.57564E−005

−3.56664E−005

−2.77381E−005

−2.77337E−005

−2.77183E−005

−2.76563E−005

−1.55532E−005

−1.55474E−005

−1.55393E−005

−1.55078E−005