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Theory and Modern Applications

Table 7 The consumed CPU time of the regular Newton method and the revised Newton method

From: A conservative difference scheme for the Riesz space-fractional sine-Gordon equation

h

CPU time of the regular Newton method

1/8

18.7031 s

1/16

72.8281 s

1/32

302.9375s

1/64

1.1886e+03 s

1/128

7.9377e+03 s≈ 2 h 12 m 18 s

h

CPU time of the revised Newton method

1/8

4.9688 s

1/16

14.0938 s

1/32

42.7500 s

1/64

142.3594 s

1/128

467.7500 s ≈ 7 m 48 s