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

Table 6

Blow-up time for (4.1) with 𝑀=200.

	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	No blow-up	No blow-up	No-blow-up	No blow-up
11.5	0.5074	0.5077	0.5085	0.5067
12.0	0.3034	0.3037	0.3038	0.3034
12.5	0.2441	0.2444	0.2444	0.2442
13.0	0.2094	0.2097	0.2097	0.2095
13.5	0.1853	0.1856	0.1856	0.1855
14.0	0.1672	0.1675	0.1675	0.1673
14.5	0.1528	0.1531	0.1531	0.1530
15.0	0.1410	0.1413	0.1413	0.1412
15.5	0.1311	0.1314	0.1314	0.1313
16.0	0.1227	0.1229	0.1229	0.1229