Boundary Value Problems

Table 13 Numerical results of \(\mathrm{SP} _{3}\) at time \(t = 2\), with \({h_{x}}={h_{y}}= 0.02\pi \), \(\tau = 0.02\)

From: A reduced fourth-order compact difference scheme based on a proper orthogonal decomposition technique for parabolic equations

(x,y)	Exact	R-ADI-CFDS4	Error 1	ADI-CFDS4	Error 2
(0.2π,0.2π)	0.006328	0.006327	8.4207e − 07	0.006327	8.4207e − 07
(0.4π,0.4π)	0.016567	0.016564	2.2046e − 06	0.016564	2.2046e − 06
(0.6π,0.6π)	0.016567	0.016564	2.2046e − 06	0.016564	2.2046e − 06
(0.8π,0.8π)	0.006328	0.006327	8.4207e − 07	0.006327	8.4207e − 07
Time		0.371496 s		86.610579 s

Back to article page