Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 Problem 6.2 : The maximum absolute errors

From: A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations

h	Proposed method ( 3.12 )				Method discussed in [ 28 ]
	ε = 0.01		ε = 0.001		ε = 0.01		ε = 0.001
	t = 1	t = 2	t = 1	t = 2	t = 1	t = 2	t = 1	t = 2
1/8	0.4935(−4)	0.3139(−4)	0.4843(−4)	0.3063(−4)	0.1381(−3)	0.8668(−4)	0.1385(−3)	0.8748(−4)
1/16	0.3068(−5)	0.1951(−5)	0.3011(−5)	0.1904(−5)	0.8596(−5)	0.5395(−5)	0.8620(−5)	0.5445(−5)
1/32	0.1915(−6)	0.1218(−6)	0.1879(−6)	0.1189(−6)	0.5367(−6)	0.3368(−6)	0.5382(−6)	0.3399(−6)

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