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Theory and Modern Applications

Table 5 COS of ASC-N, ASE-I, and ASI-E schemes when \(\pmb{n = 1{,}000}\)

From: Alternating segment explicit-implicit and implicit-explicit parallel difference method for the nonlinear Leland equation

Space grid ( m )

ASC-N [ 16 ]

ASE-I

ASI-E

\(\boldsymbol {L^{2}}\) -error

COS

\(\boldsymbol {L^{2}}\) -error

COS

\(\boldsymbol {L^{2}}\) -error

COS

301

2.1853 × 10−7

–

4.6645 × 10−7

–

4.3609 × 10−7

–

501

7.2702 × 10−7

2.3592

1.4714 × 10−6

2.2754

1.3071 × 10−6

2.1544

701

1.3532 × 10−6

2.1567

2.6557 × 10−6

2.3109

2.8593 × 10−6

2.2244

901

1.8025 × 10−6

1.9545

3.7376 × 10−6

2.0935

3.5504 × 10−6

1.9926