Research Article
Higher-Order Compact Finite Difference for Certain PDEs in Arbitrary Dimensions
Table 3
Numerical results for the sixth-order CFD method in 2D with
| | | | | | Error | Ratio | Error | Ratio | Error | Ratio | Error | Ratio |
| 1/4 | 2.278-04 | | 5.292-03 | | 0.5348-01 | | 0.4837-01 | | 1/8 | 3.708-06 | 5.94 | 8.547-05 | 5.95 | 0.2204-01 | 1.28 | 0.1380-01 | 1.81 | 1/16 | 5.732-08 | 6.02 | 1.339-06 | 5.99 | 0.1437-02 | 3.94 | 0.3918-02 | 1.82 | 1/32 | 9.020-10 | 5.99 | 2.093-08 | 6.00 | 0.1925-04 | 6.22 | 0.1078-02 | 1.86 | 1/64 | 1.409-11 | 6.00 | 3.271-10 | 6.00 | 0.3043-06 | 5.98 | 0.2463-03 | 2.13 |
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