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Theory and Modern Applications

Table 6 \(\varepsilon^{n}\) at \(t=t_{n}\) for different values of α with \(h=\frac{1}{10}\) and \(\tau=\frac{1}{20}\)

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

t

α = 1.1

α = 1.5

α = 1.95

α = 2.0

0

10.087375775801739

9.515393309522924

9.204583910317352

9.186084289597257

10

10.087375779384356

9.515393313821262

9.204583911659553

9.186084292149856

20

10.087375780023113

9.515393315532492

9.204583913085234

9.186084295906156

30

10.087375780648971

9.515393316223834

9.204583914395832

9.186084297443383

40

10.087375781657538

9.515393316456663

9.204583914934780

9.186084298335000

50

10.087375783376320

9.515393317054322

9.204583915129753

9.186084299068263

60

10.087375785301962

9.515393318461506

9.204583915590725

9.186084300186360

70

10.087375786753782

9.515393320281280

9.204583917024371

9.186084300778976

80

10.087375787805106

9.515393321510466

9.204583919287133

9.186084299627677

90

10.087375788916159

9.515393321706426

9.204583919632452

9.186084299527717

100-Ï„

10.087375790133651

9.515393321480675

9.204583918662443

9.186084299808456