A New Way to Generate an Exponential Finite Difference Scheme for 2D Convection-Diffusion Equations

Table 2

Absolute errors for EDS solution of Example 7 with different values of Re.

ℎ=𝑘	Re = 5	Re = 50	Re = 500	Re = 5000
1/8	8.60𝑒−16	5.36𝑒−19	1.86𝑒−82	0.00𝑒+0
1/16	4.30𝑒−15	7.74𝑒−18	9.78𝑒−42	0.00𝑒+0
1/32	1.82𝑒−14	2.71𝑒−16	4.49𝑒−28	1.33𝑒−204
1/64	7.43𝑒−14	1.57𝑒−15	1.01𝑒−20	2.06𝑒−84
1/128	2.87𝑒−13	6.73𝑒−15	3.20𝑒−18	6.39𝑒−52
1/256	2.72𝑒−14	2.72𝑒−14	9.58𝑒−17	1.79𝑒−26
1/512	1.08𝑒−13	1.08𝑒−13	8.79𝑒−17	6.81𝑒−22