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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