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Table 4 Errors in the \(l^\infty\) norm for test problem 4

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

\(\epsilon\)

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

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

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

\(\Delta y = \Delta z =0.03125\)

0.1

1.492e−01

2.086e−02

1.801e−03

2.767e−04

0.2

2.830e−02

5.918e−03

1.108e−03

2.626e−04

0.34

1.890e−2

4.807e−03

1.113e−03

2.742e−04

0.4

1.655e−02

4.744e−03

1.146e−03

2.843e−04

0.5

1.680e−02

4.805e−03

1.174e−03

2.916e−04

0.6

1.737e−02

4.867e−03

1.195e−03

2.916e−04

0.7

1.780e−02

4.919e−03

1.211e−03

3.970e−04

0.8

1.813e−02

4.962e−03

1.224e−03

3.048e−04

0.9

1.839e−02

4.998e−03

1.235e−03

3.075e−04

1.0

1.860e−02

5.028e−03

1.243e−03

3.097e−04