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Theory and Modern Applications

Table 2 The maximum error with different values of Δ x , Δ t for \(\pmb{\alpha=1.7}\) and \(\pmb{T=0.4}\)

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

Δx

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

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

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

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

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

\(\frac{1}{60}\)

\(\frac{1}{60}\)

\(\frac{1}{70}\)

Δt

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

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

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

\(\frac{1}{250}\)

\(\frac{1}{300}\)

\(\frac{1}{400}\)

\(\frac{1}{450}\)

\(\frac{1}{480}\)

max. error

0.01396

0.01064

0.00736

0.00653

0.00586

0.00494

0.00460

0.00443