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Table 3 The error of two different schemes for \(\mathrm{SP} _{2}\) at \(t=2\)

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

\(({x_{i}},{y_{i}})\) CFDS6-SSM E-CFDS6-SSM DADI (error)
(0.2π, 0.2π) 1.3405e−06 1.3405e−06 8.4424e−5
(0.8π, 0.8π) 4.1228e−06 4.1230e−06 2.5983e−4
(1.2π, 1.2π) 4.1228e−06 4.1230e−06 2.5982e−4
(1.8π, 1.8π) 1.3396e−06 1.3405e−06 8.4416e−5
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