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Table 6 The convergence order and computational time for \(\mathrm {SP} _{3}\) at \(t=2\)

From: An efficient high-order compact finite difference scheme based on proper orthogonal decomposition for the multi-dimensional parabolic equation

  Nodes 11 × 11 21 × 21 41 × 41
CFDS6-SSM Max (error) 1.7091e−04 1.3605e−06 2.5092e−08
Time (s) 1.008504 24.672396 56.174196
Order 6.972 5.761
E-CFDS6-SSM Max (error) 1.7344e−04 1.3630e−06 2.5095e−08
Time (s) 0.525925 11.531699 31.044471
Order 6.991 5.763