Research Article
Higher-Order Compact Finite Difference for Certain PDEs in Arbitrary Dimensions
Table 4
Numerical results for the sixth-order CFD method in 3D with
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| | | | | | Error | Ratio | Error | Ratio | Error | Ratio | Error | Ratio |
| 1/4 | 1.195-03 | | 1.047-02 | | 4.286-02 | | 3.798-02 | | 1/8 | 1.814-05 | 6.042 | 1.589-04 | 6.043 | 2.303-02 | 0.90 | 1.482-02 | 1.36 | 1/16 | 2.924-07 | 5.955 | 2.542-06 | 5.966 | 1.795-03 | 3.68 | 5.782-03 | 1.36 | 1/32 | 4.550-09 | 6.006 | 3.985-08 | 5.995 | 2.865-05 | 5.97 | 1.976-03 | 1.55 | 1/64 | 7.106-11 | 6.001 | 6.251-10 | 5.994 | 4.547-07 | 5.98 | 4.488-04 | 2.14 |
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