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Theory and Modern Applications

Table 2 \(\max|a_{ij}^{0}|\) and \(L^{1}\), \(L^{2}\), \(L^{\infty}\) norms of \(A^{0}=S^{0}-M\) for different N

From: Optimal error estimate of the Legendre spectral approximation for space-fractional reaction–advection–diffusion equation

N

\(\max|a_{ij}^{0}|\)

\(L^{1}\) norm

\(L^{2}\) norm

\(L^{\infty}\) norm

10

7.5495e − 15

1.1657e − 14

8.1202e − 15

1.1657e − 14

50

7.9936e − 15

2.5934e − 14

9.6391e − 15

2.5879e − 14

90

1.7186e − 13

2.3348e − 13

1.7794e − 13

2.3354e − 13