On the Computation of Blow-up Solutions for Semilinear ODEs and Parabolic PDEs

Table 5

Blow-up time for (4.1) with 𝑀=100.

	Blow-up time (𝑇𝑏)
𝐴	PECE-implicit Euler	Midpoint-implicit Euler	ode45	ode15s
8.0	No blow-up	No blow-up	No blow-up	No blow-up
10.0	No blow-up	No blow-up	No blow-up	No blow-up
10.5	No blow-up	No blow-up	No blow-up	No blow-up
11.0	No blow-up	No blow-up	No blow-up	No blow-up
11.1	No blow-up	No blow-up	No blow-up	No blow-up
11.2	No blow-up	No blow-up	No blow-up	No blow-up
11.3	No blow-up	No blow-up	No blow-up	No blow-up
11.4	0.5322	0.5330	0.5340	0.5325
11.5	0.4323	0.4331	0.4335	0.4328
12.0	0.2923	0.2924	0.2925	0.2922
12.5	0.2382	0.2389	0.2390	0.2388
13.0	0.2062	0.2063	0.2063	0.2062
13.5	0.1826	0.1833	0.1833	0.1832
14.0	0.1651	0.1658	0.1658	0.1656
14.5	0.1511	0.1518	0.1518	0.1516
15.0	0.1396	0.1403	0.1403	0.1402
15.5	0.1299	0.1306	0.1306	0.1305
16.0	0.1216	0.1222	0.1223	0.1222