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

Table 8

Blow-up time for (4.1) with 𝑀=100 and 𝑘=1.

		Blow-up time (𝑇𝑏)
𝑟	𝐴	PECE-implicit Euler	Midpoint-implicit Euler	ode45	ode15s
1	215	No blow-up	No blow-up	No blow-up	No blow-up
	216	0.8041	0.8367	0.8367	0.8410
	217	0.6872	0.6981	0.6981	0.6956
	218	0.6310	0.6378	0.6378	0.6384
	219	0.5936	0.5987	0.5987	0.5990
	220	0.5655	0.5696	0.5697	0.5684
2	370	No blow-up	No blow-up	No blow-up	No blow-up
	371	0.8054	0.8671	0.8671	0.8754
	372	0.6949	0.7126	0.7126	0.7142
	373	0.6427	0.6533	0.6533	0.6541
	374	0.6080	0.6157	0.6157	0.6162
	375	0.5819	0.5881	0.5881	0.5884