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Theory and Modern Applications

Table 2 Example 2 : 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>]

γ  = 1

γ  = 2

γ  = 3

γ  = 1

γ  = 2

γ  = 3

8

0.1615(−04)

0.1211(−04)

0.1132(−04)

0.2676(−04)

0.1610(−04)

0.1473(−04)

16

0.1433(−05)

0.1008(−05)

0.8878(−06)

0.2138(−05)

0.1210(−05)

0.9764(−06)

32

0.1515(−06)

0.1068(−06)

0.6704(−07)

0.2363(−06)

0.1236(−06)

0.7923(−07)

64

0.1688(−07)

0.1082(−07)

0.5315(−08)

0.2665(−07)

0.1332(−07)

0.6733(−08)