Boundary Value Problems

Table 7 Numerical results of \(\mathrm{SP} _{2}\) at \(t = 1\), with \(h=0.01\), \(\tau =0.0025\)

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

x	Exact	R-CFDS4	Error (R-CFDS4)	CFDS4	Error (CFDS4)
0.2	0.552561	0.552561	1.4043e − 08	0.552561	1.4043e − 08
0.4	0.660730	0.660730	1.9333e − 08	0.660730	1.9333e − 08
0.6	0.792848	0.792847	2.3916e − 08	0.792847	2.3916e − 08
0.8	0.954216	0.954216	2.9253e − 08	0.954216	2.9253e − 08
Time		0.153751 s		63.113938 s

Back to article page