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

Table 2

Observed errors and orders of accuracy by QSC-TG for system (4.1) with 𝑝=1, for several values of time steps, where Δ𝑥=1/1024.

Δ𝑡	Error	Order	Δ𝑡	Error	Order
1/4	1.84𝑒−005	—	1/32	4.58𝑒−009	3.99
1/8	1.16𝑒−006	3.99	1/64	3.29𝑒−010	3.80
1/16	7.26𝑒−008	4.00	1/128	6.49𝑒−011	2.34