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Table 2 Example 2: The maximum absolute errors

From: A fourth-order finite difference method based on spline in tension approximation for the solution of one-space dimensional second-order quasi-linear hyperbolic equations

h α = 6 , β = 4 , η = 0.5 , γ = 1 α = π , β = π , η = 1 , γ = 1 α = 3 π , β = π , η = 10 , γ = 20
1 8 0.2305(−04) 0.2422(−04) 0.2103(−04)
* * *
1 16 0.1743(−05) 0.1704(−05) 0.9626(−05)
* * *
1 32 0.1101(−06) 0.1076(−06) 0.6386(−06)
* * *
1 64 0.6889(−08) 0.6730(−08) 0.4006(−07)
* * *
  1. *Result obtained by Mohanty [34].