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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 2 Error, order of accuracy, and CPU time with DC4 scheme for Example 1

From: A compact finite difference method for reaction–diffusion problems using compact integration factor methods in high spatial dimensions

\(N_{x}\times N_{y}\)

Δt

\(L^{\infty}\) error

Order

CPU (s)

32 × 32

1/32

2.2449 × 10−6

–

0.0058

64 × 64

1/64

1.4015 × 10−7

4.0016

0.0658

128 × 128

1/128

8.7572 × 10−9

4.0004

1.0121

256 × 256

1/256

5.4901 × 10−10

3.9956

16.578

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