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Table 2 The maximum error for Example 1 at different values of h , Δ t for \(\pmb{\gamma=1.7}\) and \(\pmb{t=0.4}\)

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

h \(\boldsymbol{\frac{1}{10}}\) \(\boldsymbol{\frac{1}{20}}\) \(\boldsymbol{\frac{1}{30}}\) \(\boldsymbol{\frac{1}{50}}\) \(\boldsymbol{\frac{1}{50}}\) \(\boldsymbol{\frac{1}{60}}\) \(\boldsymbol{\frac{1}{60}}\) \(\boldsymbol{\frac{1}{70}}\)
Δ t \(\boldsymbol{\frac{1}{50}}\) \(\boldsymbol{\frac{1}{100}}\) \(\boldsymbol{\frac{1}{200}}\) \(\boldsymbol{\frac{1}{250}}\) \(\boldsymbol{\frac{1}{300}}\) \(\boldsymbol{\frac{1}{400}}\) \(\boldsymbol{\frac{1}{450}}\) \(\boldsymbol{\frac{1}{480}}\)
HF [14] 0.01396 0.01064 0.00736 0.00653 0.00586 0.00494 0.00460 0.00443
Present method 2.490E − 04 3.113E − 05 9.178E − 06 1.982E − 06 1.980E − 06 1.149E − 06 1.443E − 06 7.202E − 07