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