A Numerical Method of High Accuracy for Linear Parabolic Partial Differential Equations

Table 3

Observed errors and time cost by QSC-CN0 and QSC-TG for system (4.1) with 𝑝=1, for several values of time steps and mesh sizes.

Δ𝑥	QSC-CN0				QSC-TG
	Δ𝑡=98Δ𝑥^2		Δ𝑡=100Δ𝑥^2		Δ𝑡=Δ𝑥
	Error	Time (s)	Error	Time (s)	Error	Time (s)
1/64	1.04𝑒−008	0.025	2.44𝑒−008	0.025	7.19𝑒−009	0.61
1/128	3.39𝑒−010	0.34	1.38𝑒−009	0.33	4.48𝑒−010	0.80
1/256	1.09𝑒−011	10.25	8.25𝑒−011	9.87	2.87𝑒−011	4.07
1/512	3.66𝑒−012	316.13	8.49𝑒−012	312.41	4.74𝑒−012	21.59