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Theory and Modern Applications

Table 4 Example 4 : 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 )

Proposed method ( 8.1 )

γ  = 5

γ  = 10

γ  = 5

γ  = 10

8

0.4950(−03)

0.1610(−01)

0.7676(−02)

0.2871(−00)

16

0.3597(−04)

0.1421(−02)

0.2346(−02)

0.6952(−01)

32

0.3023(−05)

0.1444(−03)

0.6924(−03)

0.2221(−01)

64

0.4042(−06)

0.2188(−04)

0.2852(−03)

0.8512(−02)