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Theory and Modern Applications

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

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

N

\(\max|a_{ij}^{\frac{1}{2}}|\)

\(L^{1}\) norm

\(L^{2}\) norm

\(L^{\infty}\) norm

10

8.8818e − 15

2.9421e − 14

1.8203e − 14

2.6201e − 14

50

9.1038e − 14

4.1622e − 13

1.5942e − 13

4.0790e − 13

90

5.9908e − 13

1.7258e − 12

9.2418e − 13

1.8320e − 12