Estimation of Longest Stability Interval for a Kind of Explicit Linear Multistep Methods

Table 1

Stability results of LMMs (4.3).

𝑎	𝑏	𝑐	𝐵𝑈	𝐵𝐿	𝛽0(𝛼)	𝛼	𝛽0(𝐼ℎ)	𝐼ℎ
0.0000	0.0000	0.0000	0.2500	−0.0500	0.2500	1.2000	0.0000	0.7231
0.2500	0.2500	0.2500	0.2109	−0.3500	0.2109	1.8519	−0.2000	0.7090
0.3000	0.3000	0.3000	0.2003	−0.4000	0.2003	2.0202	−0.2000	0.7047
0.7500	0.7500	0.7500	0.0578	−1.3500	0.0578	5.8103	−0.2000	0.9693
0.9000	0.9000	0.9000	0.0123	−1.9500	0.0123	13.9252	−0.2000	1.7460
0.2500	0.5000	0.7500	0.1670	−0.8500	0.1670	2.9067	−0.2000	0.7620
−0.2500	0.5000	0.5000	0.2854	−0.4000	0.2854	1.8121	−0.1000	0.7795
−0.1000	−0.1000	−0.1000	0.2622	0.0500	0.2622	0.9966	0.1000	0.7092