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Boundary Value Problems

Table 2 Numerical results at \(t=0.5\) with \(\tau=5h\)

From: A new approach of superconvergence analysis of a low order nonconforming MFEM for reaction–diffusion equation

m × m

\(\|u^{n}-U^{n}_{h}\|_{1,h}\)

Order

\(\|U^{n}_{h}-I_{h}u^{n}\|_{1,h}\)

Order

20 × 20

0.0112

–

0.5226 × 10−3

–

40 × 40

0.0056

0.9999

0.1308 × 10−3

1.9984

80 × 80

0.0028

1.0000

0.0327 × 10−3

1.9996

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