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Theory and Modern Applications

Table 1 The maximum error with different values of Δ x and Δ t for \(\pmb{\alpha=1.5}\) and \(\pmb{T=0.2}\)

From: Numerical solutions of fractional wave equations using an efficient class of FDM based on the Hermite formula

Δx

\(\frac{1}{5}\)

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

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

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

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

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

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

\(\frac{1}{45}\)

Δt

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

\(\frac{1}{100}\)

\(\frac {1}{150}\)

\(\frac{1}{150}\)

\(\frac{1}{200}\)

\(\frac{1}{200}\)

\(\frac{1}{210}\)

\(\frac{1}{220}\)

max. error

0.01149

0.00361

0.00120

0.00115

0.00021

0.00019

0.00006

0.00004