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Theory and Modern Applications

Table 5 Stability of the ERK4 method and the ETDRK4-P13 scheme

From: Exponential time differencing schemes for the 3-coupled nonlinear fractional Schrödinger equation

t

ERK4 (τ = 0.04)

ETDRK4-P13 (τ = 0.04)

\(L_{\infty}\) errors

\(L_{\infty}\) errors

10

inf

0.00082

20

inf

0.00173

30

inf

0.00243

40

inf

0.00328