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Table 3 Errors in the \(l^\infty\) norm for test problem 3

From: A boundary value approach for solving three-dimensional elliptic and hyperbolic partial differential equations

\(L_4\)

\(\Delta y = \Delta z =0.5\)

\(\Delta y = \Delta z =0.25\)

\(\Delta y = \Delta z =0.125\)

\(\Delta y = \Delta z =0.0625\)

\(-0.8\)

5.340e−04

1.493e−04

3.896e−05

9.775e−06

\(-0.6\)

2.042e−03

5.911e−04

1.493e−03

3.763e−05

\(-0.4\)

4.878e−03

1.257e−03

3.167e−04

7.991e−05

\(-0.2\)

7.896e−03

2.007e−03

5.273e−04

1.320e−05

0.0

1.017e−02

3.005e−03

7.539e−04

1.895e−04

0.2

1.502e−02

3.966e−03

9.964e−04

2.494e−04

0.4

1.739e−02

4.742e−03

1.231e−03

3.097e−04

0.6

2.005e−02

5.389e−03

1.436e−03

3.648e−04

0.8

2.324e−02

5.975e−03

1.514e−03

3.793e−04

1.0

1.995e−02

5.048e−03

1.349e−03

3.449e−04