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Table 1 The maximum error for Example 1 at different values of h , Δ t for \(\pmb{\gamma=1.5}\) and \(\pmb{t=0.2}\)

From: A finite difference scheme based on cubic trigonometric B-splines for a time fractional diffusion-wave equation

h \(\boldsymbol{\frac{1}{5}}\) \(\boldsymbol{\frac{1}{10}}\) \(\boldsymbol{\frac{1}{20}}\) \(\boldsymbol{\frac{1}{30}}\) \(\boldsymbol{\frac{1}{30}}\) \(\boldsymbol{\frac{1}{40}}\) \(\boldsymbol{\frac{1}{40}}\) \(\boldsymbol{\frac{1}{45}}\)
Δ t \(\boldsymbol{\frac{1}{50}}\) \(\boldsymbol{\frac{1}{100}}\) \(\boldsymbol{\frac{1}{150}}\) \(\boldsymbol{\frac{1}{150}}\) \(\boldsymbol{\frac{1}{200}}\) \(\boldsymbol{\frac{1}{200}}\) \(\boldsymbol{\frac{1}{210}}\) \(\boldsymbol{\frac{1}{220}}\)
HF [14] 0.01149 0.00361 0.00120 0.00115 0.00021 0.00019 0.00006 0.00004
Present method 6.410E − 04 8.203E − 05 1.027E − 05 3.049E − 06 3.035E − 06 1.281E − 06 1.280E − 06 8.989E − 07