Numerical Solution of Advection-Diffusion Equation Using a Sixth-Order Compact Finite Difference Method

Table 4

A comparison of the peak errors of different solution techniques for Pe=4 with ℎ=0.025.

Cr	Δ𝑡	CN [12]	FD3 [17]	CD6
0.016	0.0005	1.54𝐸−03	9.13𝐸−04	5.64𝐸−09
0.032	0.001	1.51𝐸−03	9.31𝐸−04	5.64𝐸−09
0.064	0.002	1.47𝐸−03	9.73𝐸−04	5.78𝐸−09
0.08	0.0025	1.44𝐸−03	9.96𝐸−04	5.99𝐸−09
0.16	0.005	1.34𝐸−03	1.13𝐸−03	1.10𝐸−08
0.32	0.01	1.20𝐸−03	1.47𝐸−03	8.18𝐸−08
0.64	0.02	1.12𝐸−03	2.26𝐸−03	9.02𝐸−07
0.80	0.025	NA	NA	1.79𝐸−06