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Theory and Modern Applications

Table 2 Dependency of maximum absolute error on Δx, Δt with \(\lambda=0\), \(\alpha(x,t)=\frac{12-\sin^{3}(xt)}{12}\), where the final time is \(T=0.1\)

From: Finite difference approach for variable order reaction–subdiffusion equations

Δx

Δt

Maximum absolute error

\(\frac{1}{10}\)

\(\frac{1}{20}\)

3.208 × 10−3

\(\frac{1}{10}\)

\(\frac{1}{30}\)

2.756 × 10−3

\(\frac{1}{20}\)

\(\frac{1}{40}\)

2.607 × 10−3

\(\frac{1}{30}\)

\(\frac{1}{50}\)

2.589 × 10−3

\(\frac{1}{40}\)

\(\frac{1}{50}\)

2.562 × 10−3