Research Article
Convergence of the High-Accuracy Algorithm for Solving the Dirichlet Problem of the Modified Helmholtz Equation
Table 1
The simulation results for Example 1.
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| | (8, 8) | 1.3001e − 3 | — | 1.3000e − 3 | — | 1.5002e − 3 | — | 1.5000e − 3 | — | | (16, 16) | 1.5737e − 4 | 8.2162 | 1.6175e − 4 | 8.0786 | 1.7826e − 4 | 8.5450 | 1.6922e − 4 | 8.8212 | | (32, 32) | 1.9508e − 5 | 8.0668 | 2.0317e − 5 | 7.9613 | 2.2899e − 5 | 7.7844 | 2.1061e − 5 | 8.0350 | | (64, 64) | 2.4256e − 6 | 8.0428 | 2.5402e − 6 | 7.9983 | 2.8596e − 6 | 8.0078 | 2.6396e − 6 | 7.9789 | | (128, 128) | 2.9535e − 7 | 8.2125 | 3.1267e − 7 | 8.1243 | 3.5122e − 7 | 8.1420 | 3.2650e − 7 | 8.0844 | | (256, 256) | 3.2949e − 8 | 8.9638 | 3.6475e − 8 | 8.5720 | 4.0697e − 8 | 8.6301 | 3.8832e − 8 | 8.4081 |
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