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

Table 7

Blow-up time for (4.1) with 𝑀=100 and 𝑘=0.

		Blow-up time (𝑇𝑏)
𝑟	𝐴	PECE-implicit Euler	Midpoint-implicit Euler	ode45	ode15s
1	21.0	No blow-up	No blow-up	No blow-up	No blow-up
	21.5	No blow-up	No blow-up	No blow-up	No blow-up
	22.0	0.4670	0.4679	0.4681	0.4675
	22.5	0.3305	0.3312	0.3313	0.3310
	23.0	0.2780	0.2787	0.2787	0.2785
	23.5	0.2454	0.2461	0.2461	0.2460
	24.0	0.2221	0.2228	0.2228	0.2227
2	36.0	No blow-up	No blow-up	No blow-up	No blow-up
	36.5	No blow-up	No blow-up	No blow-up	No blow-up
	37.0	0.3673	0.3681	0.3681	0.3679
	37.5	0.3038	0.3045	0.3045	0.3043
	38.0	0.2683	0.2690	0.2690	0.2688
	38.5	0.2438	0.2444	0.2445	0.2443
	39.0	0.2252	0.2258	0.2259	0.2257