Mathematical Problems in Engineering / 2020 / Article / Tab 1

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 schemesMax. errorAver. errorCPU timeConv. rate

The proposed scheme (uniform)162.4859 × 10−11.7858 × 10−247
325.7032 × 10−21.9148 × 10−31725.0033
645.5382 × 10−31.4565 × 10−47023.7166
1283.1469 × 10−49.6850 × 10−629483.9106
2561.9710 × 10−56.1743 × 10−7117943.9714
The proposed scheme (nonuniform)168.1898 × 10−38.7725 × 10−4358
322.9724 × 10−42.9996 × 10−528557.9861
641.5573 × 10−51.6521 × 10−6149144.1824
1289.3004 × 10−71.0224 × 10−7350064.0143
2561.3364 × 10−76.4492 × 10−91659693.9867

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