A New High-Order Approximation for the Solution of Two-Space-Dimensional Quasilinear Hyperbolic Equations

Table 4

Example 6.4: the maximum absolute errors (with CPU time).

ℎ	Proposed 𝑂(𝑘^2+𝑘^2ℎ^2+ℎ^4)-method	𝑂(𝑘^4+𝑘^2ℎ^2+ℎ^4)-method discussed in [6]
1/4 (CPU time)	0.8996E-03	0.1440E-03
	(0.1841)	(0.2312)
1/8 (CPU time)	0.5807E-04	0.8614E-04
	(1.4538)	(1.8412)
1/16 (CPU time)	0.3656E-05	0.5644E-05
	(22.3786)	(27.1590)
1/32 (CPU time)	0.2299E-06	0.3246E-06
	(307.0478)	(384.4488)