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Theory and Modern Applications

Table 2 Classification of \(r(x,t)\) surface at node points

From: Solutions of the fractional combined KdV–mKdV equation with collocation method using radial basis function and their geometrical obstructions

Node points

N,N

Class

x = 0

−1166.57

spacelike

x = 0.1

−233.172

spacelike

x = 0.2

−73.2727

spacelike

x = 0.3

−29.2972

spacelike

x = 0.4

−13.4868

spacelike

x = 0.5

−6.72612

spacelike

x = 0.6

−3.46118

spacelike

x = 0.7

−1.73585

spacelike

x = 0.8

−0.758654

spacelike

x = 0.9

−0.173935

spacelike

x  ≈ 0.94

0

lightlike

x = 1

0.191883

timelike