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

Table 9

Blow-up time for (5.1) with 𝑀=10 and 𝑁=10.

	Blow-up time (𝑇𝑏)
𝐴	PECE-implicit Euler	Midpoint-implicit Euler	ode45	ode15s
21	no blow-up	no blow-up	no blow-up	no blow-up
22	no blow-up	no blow-up	no blow-up	no blow-up
23	0.4717971	0.4721022	0.4721028	0.4720943
24	0.2034135	0.2036998	0.2037004	0.2036986
25	0.1564947	0.1567547	0.1567553	0.1567541
26	0.1306537	0.1308970	0.1308976	0.1308967
27	0.1133313	0.1135619	0.1135625	0.1135617
28	0.1005905	0.1008109	0.1008115	0.1008108
29	0.0906900	0.0909017	0.0909023	0.0909017
30	0.0827090	0.0829133	0.0829139	0.0829133