Time-Splitting Procedures for the Numerical Solution of the 2D Advection-Diffusion Equation

Table 2

Errors obtained from LOD Lax-Wendroff at ℎ=0.05.

𝑘	CFL	𝐸num	Total mean square error	DISP. ERROR	DISS. ERROR
0.0025	0.04	1.3398×10^−3	4.1073×10^−5	4.1056×10^−5	2.1203×10^−8
0.005	0.08	1.2483×10^−3	3.5560×10^−5	3.5562×10^−5	3.5412×10^−9
0.01	0.16	1.0547×10^−3	2.5261×10^−5	2.5255×10^−5	8.1665×10^−9
1/60	4/15	7.7546×10^−4	1.3488×10^−5	1.3433×10^−5	5.4469×10^−8
3/160	0.3	6.8350×10^−4	1.0388×10^−5	1.0323×10^−5	6.9368×10^−8
0.02	0.32	6.2698×10^−4	8.6851×10^−6	8.6112×10^−6	7.7093×10^−8
0.025	0.4	3.9085×10^−4	3.2351×10^−6	3.1467×10^−6	9.3072×10^−8
1/34	8/17	4.5965×10^−4	5.2537×10^−6	5.2510×10^−6	3.708×10^−9
0.03	0.48	1.4596×10^−4	4.6945×10^−7	3.9599×10^−7	7.7350×10^−8
0.04	0.64	1.1718×10^−3	2.4062×10^−5	2.3462×10^−5	6.0153×10^−7