Research Article
Adaptive ADI Numerical Analysis of 2D Quenching-Type Reaction: Diffusion Equation with Convection Term
Table 1
The parameter values for common example.
| | Difference schemes | | Max. error | Aver. error | CPU time | Conv. rate |
| | The proposed scheme (uniform) | 16 | 2.4859 × 10−1 | 1.7858 × 10−2 | 47 | — | | 32 | 5.7032 × 10−2 | 1.9148 × 10−3 | 172 | 5.0033 | | 64 | 5.5382 × 10−3 | 1.4565 × 10−4 | 702 | 3.7166 | | 128 | 3.1469 × 10−4 | 9.6850 × 10−6 | 2948 | 3.9106 | | 256 | 1.9710 × 10−5 | 6.1743 × 10−7 | 11794 | 3.9714 | | The proposed scheme (nonuniform) | 16 | 8.1898 × 10−3 | 8.7725 × 10−4 | 358 | — | | 32 | 2.9724 × 10−4 | 2.9996 × 10−5 | 2855 | 7.9861 | | 64 | 1.5573 × 10−5 | 1.6521 × 10−6 | 14914 | 4.1824 | | 128 | 9.3004 × 10−7 | 1.0224 × 10−7 | 35006 | 4.0143 | | 256 | 1.3364 × 10−7 | 6.4492 × 10−9 | 165969 | 3.9867 |
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