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Table 3 Comparison of numerical errors obtained from the proposed method and the CSCM for Example 2

From: Numerical solution of advection–diffusion type equation by modified error correction scheme

ν CSCM Proposed
h M = N \(\mathit {err}_{R2}(0.05)\) CPU h \(M_{x}=M_{y}\) \(\mathit {err}_{R2}(0.05)\) CPU
1.0 0.005 6 3.79 × 10−9 0.0361 0.005 10 1.18 × 10−9 0.0061
0.0005 11 3.02 × 10−10 0.0370 0.0005 20 8.48 × 10−11 0.0189
0.1 0.005 6 2.15 × 10−4 0.0317 0.005 20 6.20 × 10−6 0.0074
0.001 11 1.08 × 10−6 0.0343 0.001 40 1.94 × 10−7 0.0320