Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 Absolute errors (×10⁻⁹) at different locations at \(t=5\) for Example 1

From: A mass-conservative higher-order ADI method for solving unsteady convection–diffusion equations

	h	τ	0.1	0.2	0.3	0.4	0.5	0.6	0.7	0.8	0.9
DHOC-ADI	0.01	0.001	4.54	4.81	5.07	5.33	5.57	5.80	6.01	6.19	6.33
DHOC-ADI	0.1	0.0001	0.75	0.83	0.90	0.97	0.10	0.11	0.11	0.12	0.12
HOC-ADI [14]	0.01	0.001	4.59	4.86	5.13	5.38	5.62	5.84	6.04	6.21	6.35
HOC-ADI [14]	0.1	0.0001	273	262	248	229	206	177	143	104	58.8
EHOC-ADI [16]	0.01	0.001	4.60	4.87	5.13	5.38	5.62	5.84	6.04	6.21	6.35
EHOC-ADI [16]	0.1	0.0001	316	302	283	259	229	192	150	100	44.6
RHOC-ADI [17]	0.01	0.001	4.62	4.88	5.14	5.40	5.63	5.85	6.04	6.21	6.34
RHOC-ADI [17]	0.1	0.0001	571	535	488	430	361	280	187	81.3	37.3
Nazir [30]	0.01	0.001	0.88	1.45	1.68	1.54	1.02	1.98	7.68	1.54	1.56
Dehghan [31]	0.01	0.001	0.91	1.54	1.84	1.77	1.33	0.56	0.38	1.18	1.31
Mohammadi [32]	0.01	0.001	1.73	1.02	0.39	1.96	3.59	5.25	6.94	8.57	9.13

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