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

Table 4

Blow-up time for (4.1) with 𝑀=50.

	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	0.6184	0.6204	0.6225	0.6198
11.3	0.4611	0.4629	0.4633	0.4625
11.4	0.4019	0.4036	0.4038	0.4033
11.5	0.3649	0.3666	0.3668	0.3663
12.0	0.2729	0.2745	0.2746	0.2743
12.5	0.2280	0.2295	0.2296	0.2294
13.0	0.1989	0.2005	0.2004	0.2002
13.5	0.1777	0.1791	0.1791	0.1790
14.0	0.1613	0.1626	0.1627	0.1626
14.5	0.1480	0.1493	0.1494	0.1493
15.0	0.1370	0.1383	0.1384	0.1383
15.5	0.1277	0.1290	0.1290	0.1290
16.0	0.1197	0.1209	0.1209	0.1209