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

Table 8

Max absolute error in the computed solution, Example 10 with 𝜖=0.001.

ℎ=𝑘	UDS	EDS	EDS-RE	MDC
1/8	8.12𝑒−3	1.15𝑒−4	3.51𝑒−5
1/16	1.60𝑒−2	3.21𝑒−5	2.16𝑒−6	1.31𝑒−4
1/32	3.13𝑒−2	8.98𝑒−6	1.32𝑒−7	5.82𝑒−5
1/64	6.07𝑒−2	2.58𝑒−6	8.15𝑒−9	2.72𝑒−5
1/128	1.15𝑒−1	2.58𝑒−6	8.15𝑒−9	2.72𝑒−5

Note. The last column of data comes from [31] of the MDC finite-element solution.