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Theory and Modern Applications

Table 3 Example 3 : the maximum absolute errors

From: A new variable mesh method based on non-polynomial spline in compression approximations for 1D quasilinear hyperbolic equations

N  + 1

Proposed method ( 3.20 )

Results given in [ 23 ]

t  = 1

t  = 2

t  = 1

t  = 2

8

0.5675(−04)

0.9244(−05)

0.8583(−04)

0.1064(−04)

16

0.3232(−05)

0.6453(−05)

0.6570(−05)

0.8302(−05)

32

0.4242(−06)

0.7236(−06)

0.7055(−06)

0.9182(−06)

64

0.1006(−06)

0.1528(−06)

0.1108(−06)

0.1810(−06)