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

Table 5

A comparison of analytical and CD6 solutions for various values of 𝑥 with ℎ=0.025, Δ𝑡=0.005, Cr=0.16, and Pe=4.

𝑥	Exact	CD6	Absolute error
3.50	0.0000000	0.0000000	3.78𝐸−13
4.00	0.0000159	0.0000159	1.02𝐸−09
4.50	0.0201770	0.0201769	1.94𝐸−08
5.00	0.2182179	0.2182179	1.10𝐸−08
5.50	0.0201770	0.0201770	2.51𝐸−08
6.00	0.0000159	0.0000160	9.45𝐸−10
6.50	0.0000000	0.0000000	4.40𝐸−13