Advances in Continuous and Discrete Models

Theory and Modern Applications

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	$α = 6$ , $β = 4$ , $η = 0.5$ , $γ = 1$	$α = π$ , $β = π$ , $η = 1$ , $γ = 1$	$α = 3 π$ , $β = π$ , $η = 10$ , $γ = 20$
$\frac{1}{8}$	0.2305(−04)	0.2422(−04)	0.2103(−04)
$\frac{1}{8}$	^*	^*	^*
$\frac{1}{16}$	0.1743(−05)	0.1704(−05)	0.9626(−05)
$\frac{1}{16}$	^*	^*	^*
$\frac{1}{32}$	0.1101(−06)	0.1076(−06)	0.6386(−06)
$\frac{1}{32}$	^*	^*	^*
$\frac{1}{64}$	0.6889(−08)	0.6730(−08)	0.4006(−07)
$\frac{1}{64}$	^*	^*	^*

^*Result obtained by Mohanty [34].

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