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Theory and Modern Applications

Table 1 Solutions on the line \(y=0\) of Problem 1

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

1.06874E−003

1.06873E−003

1.06874E−003

1.06877E−003

2.09641E−003

2.09639E−003

2.09641E−003

2.09647E−003

3.04351E−003

3.04350E−003

3.04352E−003

3.04361E−003

3.87366E−003

3.87364E−003

3.87366E−003

3.87378E−003

4.55494E−003

4.55491E−003

4.55495E−003

4.55508E−003

5.06118E−003

5.06115E−003

5.06119E−003

5.06134E−003

5.37292E−003

5.37289E−003

5.37293E−003

5.37309E−003

5.47818E−003

5.47815E−003

5.47819E−003

5.47835E−003

5.37292E−003

5.37289E−003

5.37293E−003

5.37309E−003

5.06118E−003

5.06115E−003

5.06119E−003

5.06134E−003

4.55494E−003

4.55491E−003

4.55495E−003

4.55508E−003

3.87366E−003

3.87364E−003

3.87366E−003

3.87378E−003

3.04351E−003

3.04350E−003

3.04352E−003

3.04361E−003

2.09641E−003

2.09639E−003

2.09641E−003

2.09647E−003

1.06874E−003

1.06873E−003

1.06874E−003

1.06877E−003