Temperature Variations Analysis for Condensed Matter Micro- and Nanoparticles Combustion Burning in Gaseous Oxidizing Media by DTM and BPES

Table 3

Comparison of DTM and BPES results with fourth-order Runge-Kutta numerical method for diameter 20 μm.

𝜏	𝜃(𝜏)
	Num	DTM	BPES	% Error DTM	% Error BPES
0.0	1.00000	1.00000	1.00000000000	—	—
0.05	1.05696555223261	1.056965552	1.05696555214	2.20073332404𝐸−8	8.80293749773𝐸−9
0.10	1.11094655557423	1.110946451	1.11094651374	9.41307477101𝐸−6	3.76522990441𝐸−6
0.15	1.16210940722201	1.162109321	1.16210937273	7.41943998047𝐸−6	2.96777599601𝐸−6
0.20	1.21060998272779	1.210609952	1.21060997044	2.53820722847𝐸−6	1.01528288038𝐸−6
0.25	1.25659429223923	1.256594206	1.25659425774	6.86293344734𝐸−6	2.745173386𝐸−6
0.30	1.30019895535529	1.300198823	1.30019890241	1.01796182264𝐸−5	4.0718472974𝐸−6
0.35	1.34155222687316	1.341552153	1.34155219732	5.50654373𝐸−6	2.20261750193𝐸−6
0.40	1.38077485817965	1.380774801	1.38077483531	4.14112769994𝐸−6	1.65645107354𝐸−6
0.45	1.41798035901816	1.417980211	1.41798029981	1.04386608044𝐸−5	4.17546432177𝐸−6
0.50	1.45327532764821	1.453275203	1.45327527779	8.57705402442𝐸−6	3.43082161282𝐸−6