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Theory and Modern Applications

Table 8 The comparison of results for Example 3 when \(\pmb{N=50}\) and \(\pmb{\gamma=1.25}\) at \(\pmb{t=1}\)

From: A finite difference scheme based on cubic trigonometric B-splines for a time fractional diffusion-wave equation

x

N  = 10

N  = 50

Exact

Present

RBF [ 15 ]

Present

RBF [ 15 ]

0.1

0.10016466

0.09950226

0.10016465

0.09950368

0.10016675

0.2

0.20133193

0.20078691

0.20133193

0.20078954

0.20133600

0.3

0.30451447

0.30400968

0.30451448

0.30401323

0.30452029

0.4

0.41074511

0.41027962

0.41074512

0.41028373

0.41075232

0.5

0.52108717

0.52063540

0.52108718

0.52063970

0.52109530

0.6

0.63664516

0.63619639

0.63664517

0.63620048

0.63665358

0.7

0.75857577

0.75810541

0.75857578

0.75810893

0.75858370

0.8

0.88809948

0.88760481

0.88809949

0.88760740

0.88810598

0.9

1.02651280

1.02592522

1.02651280

1.02592662

1.02651672

1.0

1.17520119

1.17520119

1.17520119

1.17520119

1.17520119