Skip to main content

Theory and Modern Applications

Table 4 Error, order of accuracy, and CPU time with DC4 scheme for Example 2

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)

16 × 16 × 16

1/16

5.4123 × 10−5

0.1725

32 × 32 × 32

1/32

3.3674 × 10−6

4.0065

1.9944

64 × 64 × 64

1/64

2.1022 × 10−7

4.0017

29.632

128 × 128 × 128

1/128

1.3136 × 10−8

4.0003

640.60